
Concept explainers
To find: The coordinates of the vertices after the given dilation and then graph. Then determine the coordinates and the vertices of the image and graph the pre-image and the image.

Answer to Problem 18PPS
The coordinates of the vertices is T′(−6,2),U′(4,−2),V′(2,−10) and the graph of the image and the pre-image is shown in Figure 1
Explanation of Solution
Given:
The given vertices are T(−4,1),U(2,−1),V(1,−5) .
Calculation:
Consider the vertices of the
T(−4,1),U(2,−1),V(1,−5)
Consider the vertices are dialled so that the perimeter is twice the original perimeter.
Multiply the vertex matrix by the scale factor 2 as,
2[−321−1−1−5]=[−642−2−2−10]
Thus, the coordinate of the vertices of the image is T′(−6,2),U′(4,−2),V′(2,−10) .
The graph for the image and the pre-image is shown in Figure 1
Figure 1
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