Question

Using Similarity Transformations to Demonstrate Similarity

Two or more geometric figures are similar when a sequence of dilations and/or rigid motions maps one figure onto the other.

Demonstrate that the figures in each pair are similar using dilations and rigid motions. Explain your process and describe the transformations you used.

Answer 1

it is true that the figures in each pair are similar using dilations and rigid motions

Demonstrating that the figures are similar using dilations and rigid motions.

From the question, we have the following parameters that can be used in our computation:

The pair of figures

For (a)

We start by reflecting the figure A across the y-axis

Then we dilate it by a scale factor less than 1

This is so because a dilation less than reduces the size of the figure

For (b)

We start by rotation the figure A by 90 degrees

Then we dilate it by a scale factor greater than 1

This is so because a dilation greater than increases the size of the figure