\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{\HeadingAnswers}{% \section*{\Large Name: \underline{\hspace{8cm}} \hfill Date: \underline{\hspace{3cm}}}% \vspace{-3mm}\par \textbf{Area Rectangles: Answers}\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} \HeadingAnswers \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 \draw (0,0) coordinate (E) -- ++(2.005,0) coordinate (F) -- ++(90:1.782) coordinate (G) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=G--F--E}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.6cm)$) -- ($(F) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.6cm,0)$) -- ($(G) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {8\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 9 \text{cm} \times 8 \text{cm} \\ \text{Area} &= 36.0 \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=100] % Draw \draw (0,0) coordinate (X) -- ++(4.994,0) coordinate (Y) -- ++(90:2.497) coordinate (Z) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=Z--Y--X}; % Vertex LABELS % Labels relative to shape geometry \node at ($(X)+(-0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,-0.2)$) {Y}; \node at ($(Z)+(0.2,0.2)$) {Z}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(X) + (0,-0.6cm)$) -- ($(Y) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(Y) + (0.6cm,0)$) -- ($(Z) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 8 \text{cm} \times 4 \text{cm} \\ \text{Area} &= 16.0 \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 \draw (0,0) coordinate (R) -- ++(2.446,0) coordinate (S) -- ++(90:1.631) coordinate (T) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=T--S--R}; % Vertex LABELS % Labels relative to shape geometry \node at ($(R)+(-0.2,-0.2)$) {R}; \node at ($(S)+(0.2,-0.2)$) {S}; \node at ($(T)+(0.2,0.2)$) {T}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(R) + (0,-0.6cm)$) -- ($(S) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(S) + (0.6cm,0)$) -- ($(T) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 9 \text{cm} \times 6 \text{cm} \\ \text{Area} &= 27.0 \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=270] % Draw \draw (0,0) coordinate (E) -- ++(5.757,0) coordinate (F) -- ++(90:1.919) coordinate (G) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=G--F--E}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.6cm)$) -- ($(F) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.6cm,0)$) -- ($(G) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 6 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 6.0 \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=270] % Draw \draw (0,0) coordinate (K) -- ++(2.594,0) coordinate (L) -- ++(90:2.162) coordinate (M) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=M--L--K}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.6cm)$) -- ($(L) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.6cm,0)$) -- ($(M) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 6 \text{cm} \times 5 \text{cm} \\ \text{Area} &= 15.0 \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 \draw (0,0) coordinate (K) -- ++(6.804,0) coordinate (L) -- ++(90:1.944) coordinate (M) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=M--L--K}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.6cm)$) -- ($(L) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.6cm,0)$) -- ($(M) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 7 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 7.0 \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 \draw (0,0) coordinate (K) -- ++(8.0,0) coordinate (L) -- ++(90:1.778) coordinate (M) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=M--L--K}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.6cm)$) -- ($(L) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.6cm,0)$) -- ($(M) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 9 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 9.0 \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 \draw (0,0) coordinate (X) -- ++(3.147,0) coordinate (Y) -- ++(90:1.798) coordinate (Z) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=Z--Y--X}; % Vertex LABELS % Labels relative to shape geometry \node at ($(X)+(-0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,-0.2)$) {Y}; \node at ($(Z)+(0.2,0.2)$) {Z}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(X) + (0,-0.6cm)$) -- ($(Y) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(Y) + (0.6cm,0)$) -- ($(Z) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 7 \text{cm} \times 4 \text{cm} \\ \text{Area} &= 14.0 \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=170] % Draw \draw (0,0) coordinate (K) -- ++(2.347,0) coordinate (L) -- ++(90:1.878) coordinate (M) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=M--L--K}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.6cm)$) -- ($(L) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {5\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.6cm,0)$) -- ($(M) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 5 \text{cm} \times 4 \text{cm} \\ \text{Area} &= 10.0 \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=180] % Draw \draw (0,0) coordinate (A) -- ++(3.039,0) coordinate (B) -- ++(90:2.364) coordinate (C) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=C--B--A}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(A) + (0,-0.6cm)$) -- ($(B) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(B) + (0.6cm,0)$) -- ($(C) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {7\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 9 \text{cm} \times 7 \text{cm} \\ \text{Area} &= 31.5 \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=270] % Draw \draw (0,0) coordinate (R) -- ++(3.472,0) coordinate (S) -- ++(90:1.929) coordinate (T) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=T--S--R}; % Vertex LABELS % Labels relative to shape geometry \node at ($(R)+(-0.2,-0.2)$) {R}; \node at ($(S)+(0.2,-0.2)$) {S}; \node at ($(T)+(0.2,0.2)$) {T}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(R) + (0,-0.6cm)$) -- ($(S) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {9\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(S) + (0.6cm,0)$) -- ($(T) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {5\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 9 \text{cm} \times 5 \text{cm} \\ \text{Area} &= 22.5 \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=270] % Draw \draw (0,0) coordinate (R) -- ++(3.214,0) coordinate (S) -- ++(90:1.607) coordinate (T) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=T--S--R}; % Vertex LABELS % Labels relative to shape geometry \node at ($(R)+(-0.2,-0.2)$) {R}; \node at ($(S)+(0.2,-0.2)$) {S}; \node at ($(T)+(0.2,0.2)$) {T}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(R) + (0,-0.6cm)$) -- ($(S) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {4\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(S) + (0.6cm,0)$) -- ($(T) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 4 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 4.0 \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 \draw (0,0) coordinate (A) -- ++(4.893,0) coordinate (B) -- ++(90:2.097) coordinate (C) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=C--B--A}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(A) + (0,-0.6cm)$) -- ($(B) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(B) + (0.6cm,0)$) -- ($(C) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 7 \text{cm} \times 3 \text{cm} \\ \text{Area} &= 10.5 \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=180] % Draw \draw (0,0) coordinate (A) -- ++(3.293,0) coordinate (B) -- ++(90:1.976) coordinate (C) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=C--B--A}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(A) + (0,-0.6cm)$) -- ($(B) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {5\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(B) + (0.6cm,0)$) -- ($(C) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 5 \text{cm} \times 3 \text{cm} \\ \text{Area} &= 7.5 \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 \draw (0,0) coordinate (E) -- ++(2.319,0) coordinate (F) -- ++(90:2.029) coordinate (G) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=G--F--E}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.6cm)$) -- ($(F) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.6cm,0)$) -- ($(G) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {7\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 8 \text{cm} \times 7 \text{cm} \\ \text{Area} &= 28.0 \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=180] % Draw \draw (0,0) coordinate (X) -- ++(3.973,0) coordinate (Y) -- ++(90:1.589) coordinate (Z) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=Z--Y--X}; % Vertex LABELS % Labels relative to shape geometry \node at ($(X)+(-0.2,-0.2)$) {X}; \node at ($(Y)+(0.2,-0.2)$) {Y}; \node at ($(Z)+(0.2,0.2)$) {Z}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(X) + (0,-0.6cm)$) -- ($(Y) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {5\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(Y) + (0.6cm,0)$) -- ($(Z) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 5 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 5.0 \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 \draw (0,0) coordinate (K) -- ++(4.363,0) coordinate (L) -- ++(90:1.636) coordinate (M) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=M--L--K}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(K) + (0,-0.6cm)$) -- ($(L) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(L) + (0.6cm,0)$) -- ($(M) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {3\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 8 \text{cm} \times 3 \text{cm} \\ \text{Area} &= 12.0 \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 \draw (0,0) coordinate (E) -- ++(7.584,0) coordinate (F) -- ++(90:1.896) coordinate (G) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=G--F--E}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.6cm)$) -- ($(F) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {8\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.6cm,0)$) -- ($(G) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {2\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 8 \text{cm} \times 2 \text{cm} \\ \text{Area} &= 8.0 \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 \draw (0,0) coordinate (E) -- ++(3.138,0) coordinate (F) -- ++(90:2.092) coordinate (G) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=G--F--E}; % 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}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(E) + (0,-0.6cm)$) -- ($(F) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {6\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(F) + (0.6cm,0)$) -- ($(G) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {4\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 6 \text{cm} \times 4 \text{cm} \\ \text{Area} &= 12.0 \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=90] % Draw \draw (0,0) coordinate (R) -- ++(2.191,0) coordinate (S) -- ++(90:1.878) coordinate (T) -- cycle; \pic [draw, -, angle radius=0.2cm] {right angle=T--S--R}; % Vertex LABELS % Labels relative to shape geometry \node at ($(R)+(-0.2,-0.2)$) {R}; \node at ($(S)+(0.2,-0.2)$) {S}; \node at ($(T)+(0.2,0.2)$) {T}; % dotted/dashed arrows shifted away from edges % Horizontal side (A-B), shifted down \draw[<->, gray] ($(R) + (0,-0.6cm)$) -- ($(S) + (0,-0.6cm)$) node[black, midway, fill=white, inner sep=2.5pt] {7\,cm}; % Vertical side (B-C), shifted right \draw[<->, gray] ($(S) + (0.6cm,0)$) -- ($(T) + (0.6cm,0)$) node[black, midway, fill=white, xshift=0mm, inner sep=2.5pt] {6\,cm}; \end{scope} \end{tikzpicture} \end{minipage}% \hfill \begin{minipage}{.4\textwidth} \begin{align*} \text{Area} &= \frac{1}{2} \text{bh} \\ \text{Area} &= \frac{1}{2} \times 7 \text{cm} \times 6 \text{cm} \\ \text{Area} &= 21.0 \text{cm}^2 \end{align*} \end{minipage} \par\vspace{1cm} \end{document}