\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 Squares}\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=30] % Draw square \draw (0,0) coordinate (E) -- ++(2.546,0) coordinate (F) -- ++(0,2.546) coordinate (G) -- ++(-2.546,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(E)!0.5!(F) + (0,-0.10)$) -- ($(E)!0.5!(F) + (0,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0,-0.10)$) -- ($(H)!0.5!(G) + (0,0.10)$); % 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 % % 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] {8\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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 (Q) -- ++(2.587,0) coordinate (R) -- ++(0,2.587) coordinate (S) -- ++(-2.587,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(1.579,0) coordinate (F) -- ++(0,1.579) coordinate (G) -- ++(-1.579,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(E)!0.5!(F) + (0,-0.10)$) -- ($(E)!0.5!(F) + (0,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0,-0.10)$) -- ($(H)!0.5!(G) + (0,0.10)$); % 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 % % 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] {9\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.585,0) coordinate (X) -- ++(0,2.585) coordinate (Y) -- ++(-2.585,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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} &= l^2 \\ \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) -- ++(1.671,0) coordinate (F) -- ++(0,1.671) coordinate (G) -- ++(-1.671,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(E)!0.5!(F) + (0,-0.10)$) -- ($(E)!0.5!(F) + (0,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0,-0.10)$) -- ($(H)!0.5!(G) + (0,0.10)$); % 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 % % 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] {7\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.474,0) coordinate (R) -- ++(0,2.474) coordinate (S) -- ++(-2.474,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {1\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.101,0) coordinate (X) -- ++(0,2.101) coordinate (Y) -- ++(-2.101,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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} &= l^2 \\ \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) -- ++(2.226,0) coordinate (L) -- ++(0,2.226) coordinate (M) -- ++(-2.226,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(K)!0.5!(L) + (0,-0.10)$) -- ($(K)!0.5!(L) + (0,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0,-0.10)$) -- ($(N)!0.5!(M) + (0,0.10)$); % 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 % % 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} &= l^2 \\ \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) -- ++(2.336,0) coordinate (R) -- ++(0,2.336) coordinate (S) -- ++(-2.336,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.527,0) coordinate (R) -- ++(0,2.527) coordinate (S) -- ++(-2.527,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {11\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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 (Q) -- ++(2.032,0) coordinate (R) -- ++(0,2.032) coordinate (S) -- ++(-2.032,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {17\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(1.605,0) coordinate (R) -- ++(0,1.605) coordinate (S) -- ++(-1.605,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(Q)!0.5!(R) + (0,-0.10)$) -- ($(Q)!0.5!(R) + (0,0.10)$); \draw[thin, gray] ($(T)!0.5!(S) + (0,-0.10)$) -- ($(T)!0.5!(S) + (0,0.10)$); % 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 % % 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] {12\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.862,0) coordinate (X) -- ++(0,2.862) coordinate (Y) -- ++(-2.862,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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] {18\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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 (W) -- ++(2.373,0) coordinate (X) -- ++(0,2.373) coordinate (Y) -- ++(-2.373,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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] {10\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.46,0) coordinate (X) -- ++(0,2.46) coordinate (Y) -- ++(-2.46,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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] {13\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.744,0) coordinate (X) -- ++(0,2.744) coordinate (Y) -- ++(-2.744,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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] {19\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.849,0) coordinate (F) -- ++(0,2.849) coordinate (G) -- ++(-2.849,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(E)!0.5!(F) + (0,-0.10)$) -- ($(E)!0.5!(F) + (0,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0,-0.10)$) -- ($(H)!0.5!(G) + (0,0.10)$); % 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 % % 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] {16\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(1.998,0) coordinate (X) -- ++(0,1.998) coordinate (Y) -- ++(-1.998,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(W)!0.5!(X) + (0,-0.10)$) -- ($(W)!0.5!(X) + (0,0.10)$); \draw[thin, gray] ($(Z)!0.5!(Y) + (0,-0.10)$) -- ($(Z)!0.5!(Y) + (0,0.10)$); % 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 % % 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] {20\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(1.74,0) coordinate (L) -- ++(0,1.74) coordinate (M) -- ++(-1.74,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(K)!0.5!(L) + (0,-0.10)$) -- ($(K)!0.5!(L) + (0,0.10)$); \draw[thin, gray] ($(N)!0.5!(M) + (0,-0.10)$) -- ($(N)!0.5!(M) + (0,0.10)$); % 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 % % 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] {15\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \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) -- ++(2.709,0) coordinate (F) -- ++(0,2.709) coordinate (G) -- ++(-2.709,0) 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}; % Tick marks across horizontal sides \draw[thin, gray] ($(E)!0.5!(F) + (0,-0.10)$) -- ($(E)!0.5!(F) + (0,0.10)$); \draw[thin, gray] ($(H)!0.5!(G) + (0,-0.10)$) -- ($(H)!0.5!(G) + (0,0.10)$); % 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 % % 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] {14\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= l^2 \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm} \times \dotuline{~~~~~~~} \,\text{cm} \\ \text{Area} &= \dotuline{~~~~~~~} \,\text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm} \end{document}