Question

Describe a sequence of transformations that exhibits the similarity between the pair of figures shown.

Answer 1

Reflection across the x-axis followed by dilation by a scale factor of with the center of dilation at the origin

Explanation:

Rectangle EFGD has vertices at points E(-6,8), F(0,8), G(0,1) and D(-6,1).

1 transformation - reflection across the x-axis with the rule

So, the image rectangle E''F''G''D'' has vertices with coordinates

2 transformation - dilation by a scale factor of with the center of dilation at the origin. This transformation has the rule

Thus,

These are exactly vertices of rectangle E'F'G'D'.