Question

practice describing sequences of transformations involving dilations

study the example showing how to describe a sequence of transformations involving dilations. then solve problems 1 - 5.

example
what is one possible sequence of transformations that shows that △abc~△def?
reflect △abc across the y - axis.
then dilate the image using a scale factor of 1/2 with a center of dilation at the origin.
1 look at the example. what is one possible sequence of transformations you could perform to map △def onto △abc?

Explanation:

Step1: Reverse the dilation

Dilate $\triangle DEF$ by a scale factor of 2 with the center of dilation at the origin. The rule for dilation with scale - factor $k = 2$ and center at the origin $(0,0)$ for a point $(x,y)$ is $(x,y)\to(2x,2y)$.

Step2: Reverse the reflection

Reflect the dilated image across the y - axis. The rule for reflection across the y - axis for a point $(x,y)$ is $(x,y)\to(-x,y)$.

Answer:

Dilate $\triangle DEF$ by a scale factor of 2 with the center of dilation at the origin, then reflect the resulting triangle across the y - axis.