
To find: The coordinates of the image after transformation.

Answer to Problem 38PPS
The new coordinate of the image after transformation are D(2,−3),E(5,−2),F(4,2),G(1,1) .
Explanation of Solution
Given:
The given image is shown in Figure 1
Figure 1
The image is rotated 90° about the origin and then reflected in the
Calculation:
Consider the vertices of the image are,
The vertices in the matrix form are,
Consider the transformation matrix for the reflection across
Consider the matrix for the reflection
Consider the matrix for the rotation of
The graph for the coordinates after transformation is shown in Figure 1
Figure 1
Then, the coordinates of the transformed image is,
Chapter 4 Solutions
Algebra 2
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