Respuesta :
The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)
How to work with transformation of objects?
We are given the vertices of Triangle CDE as;
C(-2,-2), D(1,-4), and E(-3,-4).
Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.
However, we are told that it is centered about the point (-1.-3).
Thus;
Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.
Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)
Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)
Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)
B) Reflection in the line y = -x gives;
C'(2, -2), D(-1, 4), and E(3, 4)
Read more about Objects Transformation at; https://brainly.com/question/3457976
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