15. Find the coordinates of the vertices of the rectangle $W X Y Z$ with coordinates $W (11, - 5), X (9, 3), Y (- 2, 8), Z (- 1, - 4)$ after a dilation with a scale factor of 6 . Write the answer as a matrix.
$[\begin{array}{cccc} - 5 & - 3 & 8 & 7 \\ 11 & 3 & - 2 & 10 \end{array}]$
$[\begin{array}{cccc} 11 & 9 & - 2 & - 1 \\ - 5 & 3 & 8 & - 4 \end{array}]$
$[\begin{array}{cccc} 17 & 15 & 4 & 5 \\ 1 & 9 & 14 & 2 \end{array}]$
$[\begin{array}{cccc} 66 & 54 & - 12 & - 6 \\ - 30 & 18 & 48 & - 24 \end{array}]$

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So the matrix is $(\begin{matrix} 66 & 54 & - 12 & - 6 \\ - 30 & 18 & 48 & - 24 \end{matrix})$ .

Steps

Step 1 ：The dilation centered at the origin with scale factor 6 takes $(\begin{matrix} 11 \\ - 5 \end{matrix})$ to $(\begin{matrix} 66 \\ - 30 \end{matrix})$ , $(\begin{matrix} 9 \\ 3 \end{matrix})$ to $(\begin{matrix} 54 \\ 18 \end{matrix})$ , $(\begin{matrix} - 2 \\ 8 \end{matrix})$ to $(\begin{matrix} - 12 \\ 48 \end{matrix})$ , and $(\begin{matrix} - 1 \\ - 4 \end{matrix})$ to $(\begin{matrix} - 6 \\ - 24 \end{matrix})$ .

Step 2 ：So the matrix is $(\begin{matrix} 66 & 54 & - 12 & - 6 \\ - 30 & 18 & 48 & - 24 \end{matrix})$ .

15. Find the coordinates of the vertices of the rectangle WXYZ with coordinates W(11,−5),X(9,3),Y(−2,8),Z(−1,−4) after a dilation with a scale factor of 6 . Write the answer as a matrix.[−5−387113−210][119−2−1−538−4][17154519142][6654−12−6−301848−24]

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