\documentclass[12pt]{article} \usepackage{tikz} \usepackage{amsmath} % Underlining package \usepackage{ulem} \usetikzlibrary{calc} \usetikzlibrary{angles,quotes} \usepackage[a4paper, portrait, margin=1cm]{geometry} \usepackage{fancyhdr} \newcommand{\HeadingQuestions}{% \section*{\Large Name: \underline{\hspace{8cm}} \hfill Date: \underline{\hspace{3cm}}}% \vspace{-3mm}\par \textbf{Area Rectangles}\vspace{1pt}\hrule } % raise footer with page number; no header \fancypagestyle{myfancypagestyle}{ \fancyhf{}% clear all header and footer fields \renewcommand{\headrulewidth}{0pt} % no rule under header \fancyfoot[C] {\thepage} \setlength{\footskip}{14.5pt} % raise page number allowed min 14.5pt } \pagestyle{myfancypagestyle} % apply myfancypagestyle \newcounter{minipagecount} \begin{document} \HeadingQuestions \vspace{8mm} \begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (W) -- ++(8.0,0) coordinate (X) -- ++(0,1.778) coordinate (Y) -- ++(-8.0,0) coordinate (Z) -- cycle; % Right angle markers \foreach \p/\q/\r in {Z/W/X,W/X/Y,X/Y/Z,Y/Z/W} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(W)+(-0.2,-0.2)$) {W}; \node at ($(X)+(0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,0.2)$) {Y}; \node at ($(Z)+(-0.2,0.2)$) {Z}; % double Tick marks across horizontal side W--X \draw[thin, gray] ($(W)!0.5!(X) + (-0.03,-0.10)$) -- ($(W)!0.5!(X) + (-0.03,0.10)$); \draw[thin, gray] ($(W)!0.5!(X) + (0.03,-0.10)$) -- ($(W)!0.5!(X) + (0.03,0.10)$); % double Tick marks across horizontal side Z--Y \draw[thin, gray] ($(Z)!0.5!(Y) + (-0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (-0.03,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(X)!0.5!(Y) + (-0.10,0)$) -- ($(X)!0.5!(Y) + (0.10,0)$); \draw[thin, gray] ($(W)!0.5!(Z) + (-0.10,0)$) -- ($(W)!0.5!(Z) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(W) + (0,-0.50cm)$) -- ($(X) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(X) + (0.50cm,0)$) -- ($(Y) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=10] % Draw square \draw (0,0) coordinate (E) -- ++(6.231,0) coordinate (F) -- ++(0,2.077) coordinate (G) -- ++(-6.231,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (K) -- ++(3.065,0) coordinate (L) -- ++(0,2.452) coordinate (M) -- ++(-3.065,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {5\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (E) -- ++(3.312,0) coordinate (F) -- ++(0,2.208) coordinate (G) -- ++(-3.312,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {3\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (A) -- ++(3.662,0) coordinate (B) -- ++(0,2.289) coordinate (C) -- ++(-3.662,0) coordinate (D) -- cycle; % Right angle markers \foreach \p/\q/\r in {D/A/B,A/B/C,B/C/D,C/D/A} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(A)+(-0.2,-0.2)$) {A}; \node at ($(B)+(0.2,-0.2)$) {B}; \node at ($(C)+(0.2,0.2)$) {C}; \node at ($(D)+(-0.2,0.2)$) {D}; % double Tick marks across horizontal side A--B \draw[thin, gray] ($(A)!0.5!(B) + (-0.03,-0.10)$) -- ($(A)!0.5!(B) + (-0.03,0.10)$); \draw[thin, gray] ($(A)!0.5!(B) + (0.03,-0.10)$) -- ($(A)!0.5!(B) + (0.03,0.10)$); % double Tick marks across horizontal side D--C \draw[thin, gray] ($(D)!0.5!(C) + (-0.03,-0.10)$) -- ($(D)!0.5!(C) + (-0.03,0.10)$); \draw[thin, gray] ($(D)!0.5!(C) + (0.03,-0.10)$) -- ($(D)!0.5!(C) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(B)!0.5!(C) + (-0.10,0)$) -- ($(B)!0.5!(C) + (0.10,0)$); \draw[thin, gray] ($(A)!0.5!(D) + (-0.10,0)$) -- ($(A)!0.5!(D) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(A) + (0,-0.50cm)$) -- ($(B) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(B) + (0.50cm,0)$) -- ($(C) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=-30] % Draw square \draw (0,0) coordinate (K) -- ++(6.615,0) coordinate (L) -- ++(0,1.89) coordinate (M) -- ++(-6.615,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=20] % Draw square \draw (0,0) coordinate (K) -- ++(5.076,0) coordinate (L) -- ++(0,2.256) coordinate (M) -- ++(-5.076,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (W) -- ++(3.086,0) coordinate (X) -- ++(0,2.204) coordinate (Y) -- ++(-3.086,0) coordinate (Z) -- cycle; % Right angle markers \foreach \p/\q/\r in {Z/W/X,W/X/Y,X/Y/Z,Y/Z/W} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(W)+(-0.2,-0.2)$) {W}; \node at ($(X)+(0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,0.2)$) {Y}; \node at ($(Z)+(-0.2,0.2)$) {Z}; % double Tick marks across horizontal side W--X \draw[thin, gray] ($(W)!0.5!(X) + (-0.03,-0.10)$) -- ($(W)!0.5!(X) + (-0.03,0.10)$); \draw[thin, gray] ($(W)!0.5!(X) + (0.03,-0.10)$) -- ($(W)!0.5!(X) + (0.03,0.10)$); % double Tick marks across horizontal side Z--Y \draw[thin, gray] ($(Z)!0.5!(Y) + (-0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (-0.03,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(X)!0.5!(Y) + (-0.10,0)$) -- ($(X)!0.5!(Y) + (0.10,0)$); \draw[thin, gray] ($(W)!0.5!(Z) + (-0.10,0)$) -- ($(W)!0.5!(Z) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(W) + (0,-0.50cm)$) -- ($(X) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(X) + (0.50cm,0)$) -- ($(Y) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=10] % Draw square \draw (0,0) coordinate (E) -- ++(3.748,0) coordinate (F) -- ++(0,1.874) coordinate (G) -- ++(-3.748,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=30] % Draw square \draw (0,0) coordinate (E) -- ++(2.69,0) coordinate (F) -- ++(0,2.306) coordinate (G) -- ++(-2.69,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (A) -- ++(3.469,0) coordinate (B) -- ++(0,1.927) coordinate (C) -- ++(-3.469,0) coordinate (D) -- cycle; % Right angle markers \foreach \p/\q/\r in {D/A/B,A/B/C,B/C/D,C/D/A} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(A)+(-0.2,-0.2)$) {A}; \node at ($(B)+(0.2,-0.2)$) {B}; \node at ($(C)+(0.2,0.2)$) {C}; \node at ($(D)+(-0.2,0.2)$) {D}; % double Tick marks across horizontal side A--B \draw[thin, gray] ($(A)!0.5!(B) + (-0.03,-0.10)$) -- ($(A)!0.5!(B) + (-0.03,0.10)$); \draw[thin, gray] ($(A)!0.5!(B) + (0.03,-0.10)$) -- ($(A)!0.5!(B) + (0.03,0.10)$); % double Tick marks across horizontal side D--C \draw[thin, gray] ($(D)!0.5!(C) + (-0.03,-0.10)$) -- ($(D)!0.5!(C) + (-0.03,0.10)$); \draw[thin, gray] ($(D)!0.5!(C) + (0.03,-0.10)$) -- ($(D)!0.5!(C) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(B)!0.5!(C) + (-0.10,0)$) -- ($(B)!0.5!(C) + (0.10,0)$); \draw[thin, gray] ($(A)!0.5!(D) + (-0.10,0)$) -- ($(A)!0.5!(D) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(A) + (0,-0.50cm)$) -- ($(B) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(B) + (0.50cm,0)$) -- ($(C) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (Q) -- ++(3.177,0) coordinate (R) -- ++(0,2.471) coordinate (S) -- ++(-3.177,0) coordinate (T) -- cycle; % Right angle markers \foreach \p/\q/\r in {T/Q/R,Q/R/S,R/S/T,S/T/Q} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(Q)+(-0.2,-0.2)$) {Q}; \node at ($(R)+(0.2,-0.2)$) {R}; \node at ($(S)+(0.2,0.2)$) {S}; \node at ($(T)+(-0.2,0.2)$) {T}; % double Tick marks across horizontal side Q--R \draw[thin, gray] ($(Q)!0.5!(R) + (-0.03,-0.10)$) -- ($(Q)!0.5!(R) + (-0.03,0.10)$); \draw[thin, gray] ($(Q)!0.5!(R) + (0.03,-0.10)$) -- ($(Q)!0.5!(R) + (0.03,0.10)$); % double Tick marks across horizontal side T--S \draw[thin, gray] ($(T)!0.5!(S) + (-0.03,-0.10)$) -- ($(T)!0.5!(S) + (-0.03,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0.03,-0.10)$) -- ($(T)!0.5!(S) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(R)!0.5!(S) + (-0.10,0)$) -- ($(R)!0.5!(S) + (0.10,0)$); \draw[thin, gray] ($(Q)!0.5!(T) + (-0.10,0)$) -- ($(Q)!0.5!(T) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(Q) + (0,-0.50cm)$) -- ($(R) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(R) + (0.50cm,0)$) -- ($(S) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {7\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=20] % Draw square \draw (0,0) coordinate (W) -- ++(1.955,0) coordinate (X) -- ++(0,1.738) coordinate (Y) -- ++(-1.955,0) coordinate (Z) -- cycle; % Right angle markers \foreach \p/\q/\r in {Z/W/X,W/X/Y,X/Y/Z,Y/Z/W} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(W)+(-0.2,-0.2)$) {W}; \node at ($(X)+(0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,0.2)$) {Y}; \node at ($(Z)+(-0.2,0.2)$) {Z}; % double Tick marks across horizontal side W--X \draw[thin, gray] ($(W)!0.5!(X) + (-0.03,-0.10)$) -- ($(W)!0.5!(X) + (-0.03,0.10)$); \draw[thin, gray] ($(W)!0.5!(X) + (0.03,-0.10)$) -- ($(W)!0.5!(X) + (0.03,0.10)$); % double Tick marks across horizontal side Z--Y \draw[thin, gray] ($(Z)!0.5!(Y) + (-0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (-0.03,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(X)!0.5!(Y) + (-0.10,0)$) -- ($(X)!0.5!(Y) + (0.10,0)$); \draw[thin, gray] ($(W)!0.5!(Z) + (-0.10,0)$) -- ($(W)!0.5!(Z) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(W) + (0,-0.50cm)$) -- ($(X) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(X) + (0.50cm,0)$) -- ($(Y) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {8\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=30] % Draw square \draw (0,0) coordinate (E) -- ++(5.042,0) coordinate (F) -- ++(0,2.161) coordinate (G) -- ++(-5.042,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (E) -- ++(2.874,0) coordinate (F) -- ++(0,1.916) coordinate (G) -- ++(-2.874,0) coordinate (H) -- cycle; % Right angle markers \foreach \p/\q/\r in {H/E/F,E/F/G,F/G/H,G/H/E} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(E)+(-0.2,-0.2)$) {E}; \node at ($(F)+(0.2,-0.2)$) {F}; \node at ($(G)+(0.2,0.2)$) {G}; \node at ($(H)+(-0.2,0.2)$) {H}; % double Tick marks across horizontal side E--F \draw[thin, gray] ($(E)!0.5!(F) + (-0.03,-0.10)$) -- ($(E)!0.5!(F) + (-0.03,0.10)$); \draw[thin, gray] ($(E)!0.5!(F) + (0.03,-0.10)$) -- ($(E)!0.5!(F) + (0.03,0.10)$); % double Tick marks across horizontal side H--G \draw[thin, gray] ($(H)!0.5!(G) + (-0.03,-0.10)$) -- ($(H)!0.5!(G) + (-0.03,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0.03,-0.10)$) -- ($(H)!0.5!(G) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(F)!0.5!(G) + (-0.10,0)$) -- ($(F)!0.5!(G) + (0.10,0)$); \draw[thin, gray] ($(E)!0.5!(H) + (-0.10,0)$) -- ($(E)!0.5!(H) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.50cm)$) -- ($(F) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.50cm,0)$) -- ($(G) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=-30] % Draw square \draw (0,0) coordinate (W) -- ++(5.467,0) coordinate (X) -- ++(0,2.05) coordinate (Y) -- ++(-5.467,0) coordinate (Z) -- cycle; % Right angle markers \foreach \p/\q/\r in {Z/W/X,W/X/Y,X/Y/Z,Y/Z/W} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(W)+(-0.2,-0.2)$) {W}; \node at ($(X)+(0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,0.2)$) {Y}; \node at ($(Z)+(-0.2,0.2)$) {Z}; % double Tick marks across horizontal side W--X \draw[thin, gray] ($(W)!0.5!(X) + (-0.03,-0.10)$) -- ($(W)!0.5!(X) + (-0.03,0.10)$); \draw[thin, gray] ($(W)!0.5!(X) + (0.03,-0.10)$) -- ($(W)!0.5!(X) + (0.03,0.10)$); % double Tick marks across horizontal side Z--Y \draw[thin, gray] ($(Z)!0.5!(Y) + (-0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (-0.03,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(X)!0.5!(Y) + (-0.10,0)$) -- ($(X)!0.5!(Y) + (0.10,0)$); \draw[thin, gray] ($(W)!0.5!(Z) + (-0.10,0)$) -- ($(W)!0.5!(Z) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(W) + (0,-0.50cm)$) -- ($(X) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(X) + (0.50cm,0)$) -- ($(Y) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=-10] % Draw square \draw (0,0) coordinate (K) -- ++(3.405,0) coordinate (L) -- ++(0,1.946) coordinate (M) -- ++(-3.405,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=-20] % Draw square \draw (0,0) coordinate (K) -- ++(4.87,0) coordinate (L) -- ++(0,2.435) coordinate (M) -- ++(-4.87,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (W) -- ++(2.032,0) coordinate (X) -- ++(0,1.693) coordinate (Y) -- ++(-2.032,0) coordinate (Z) -- cycle; % Right angle markers \foreach \p/\q/\r in {Z/W/X,W/X/Y,X/Y/Z,Y/Z/W} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(W)+(-0.2,-0.2)$) {W}; \node at ($(X)+(0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,0.2)$) {Y}; \node at ($(Z)+(-0.2,0.2)$) {Z}; % double Tick marks across horizontal side W--X \draw[thin, gray] ($(W)!0.5!(X) + (-0.03,-0.10)$) -- ($(W)!0.5!(X) + (-0.03,0.10)$); \draw[thin, gray] ($(W)!0.5!(X) + (0.03,-0.10)$) -- ($(W)!0.5!(X) + (0.03,0.10)$); % double Tick marks across horizontal side Z--Y \draw[thin, gray] ($(Z)!0.5!(Y) + (-0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (-0.03,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0.03,-0.10)$) -- ($(Z)!0.5!(Y) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(X)!0.5!(Y) + (-0.10,0)$) -- ($(X)!0.5!(Y) + (0.10,0)$); \draw[thin, gray] ($(W)!0.5!(Z) + (-0.10,0)$) -- ($(W)!0.5!(Z) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(W) + (0,-0.50cm)$) -- ($(X) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(X) + (0.50cm,0)$) -- ($(Y) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm}\begin{minipage}{0.55\textwidth} \refstepcounter{minipagecount} \noindent{(\theminipagecount)}\quad \begin{tikzpicture}[scale=1.0, baseline=(current bounding box.north)] \begin{scope}[rotate=0] % Draw square \draw (0,0) coordinate (K) -- ++(2.121,0) coordinate (L) -- ++(0,1.591) coordinate (M) -- ++(-2.121,0) coordinate (N) -- cycle; % Right angle markers \foreach \p/\q/\r in {N/K/L,K/L/M,L/M/N,M/N/K} { \pic [draw, -, angle radius=0.2cm] {right angle=\p--\q--\r}; } % Vertex LABELS % Labels relative to shape geometry \node at ($(K)+(-0.2,-0.2)$) {K}; \node at ($(L)+(0.2,-0.2)$) {L}; \node at ($(M)+(0.2,0.2)$) {M}; \node at ($(N)+(-0.2,0.2)$) {N}; % double Tick marks across horizontal side K--L \draw[thin, gray] ($(K)!0.5!(L) + (-0.03,-0.10)$) -- ($(K)!0.5!(L) + (-0.03,0.10)$); \draw[thin, gray] ($(K)!0.5!(L) + (0.03,-0.10)$) -- ($(K)!0.5!(L) + (0.03,0.10)$); % double Tick marks across horizontal side N--M \draw[thin, gray] ($(N)!0.5!(M) + (-0.03,-0.10)$) -- ($(N)!0.5!(M) + (-0.03,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0.03,-0.10)$) -- ($(N)!0.5!(M) + (0.03,0.10)$); % Tick marks across vertical sides \draw[thin, gray] ($(L)!0.5!(M) + (-0.10,0)$) -- ($(L)!0.5!(M) + (0.10,0)$); \draw[thin, gray] ($(K)!0.5!(N) + (-0.10,0)$) -- ($(K)!0.5!(N) + (0.10,0)$); % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.50cm)$) -- ($(L) + (0,-0.50cm)$) node[black, midway, fill=white, inner sep=3pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.50cm,0)$) -- ($(M) + (0.50cm,0)$) node[black, midway, fill=white, xshift=2mm, inner sep=3pt] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= lw \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm} \end{document}