91Ó°ÊÓ

Two geometric figures are ________ if and only if there is a rigid motion or a composition of rigid motions that moves one of the figures onto the other.

VOCABULARY A glide reflection is a combination of which two transformations?

What is the difference between similar \(\square\) gures and congruent \(\square\) gures?

VOCABULARY Name the preimage and image of the transformation \(\Delta \mathrm{ABC} \rightarrow \Delta \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime}\)

COMPLETE THE SENTENCE \(\mathrm{P}(\mathrm{x}, \mathrm{y})\) is the preimage of a point, then its image after a dilation centered at the origin \((0,0)\) with scale factor \(\mathrm{k}\) is the point _________.

Why is the term congruence transformation used to refer to a rigid motion?

A transformation that produces a similar \(\square\) gure, such as a dilation, is \(\square\) called a _________.

In Exercises \(5-8,\) the vertices of \(\triangle \mathrm{DEF}\) are \(\mathrm{D}(2,5)\) \(\mathrm{E}(6,3),\) and \(\mathrm{F}(4,0) .\) Translate \(\Delta \mathrm{DEF}\) using the given vector. Graph \(\Delta \mathrm{DEF}\) and its image. (See Example 2 .) $$ \langle 6,0\rangle $$

In Exercises \(5-8,\) the vertices of \(\triangle \mathrm{DEF}\) are \(\mathrm{D}(2,5)\) \(\mathrm{E}(6,3),\) and \(\mathrm{F}(4,0) .\) Translate \(\Delta \mathrm{DEF}\) using the given vector. Graph \(\Delta \mathrm{DEF}\) and its image. (See Example 2 .) $$ \langle 5,-1\rangle $$

Determine whether the polygons with the given vertices are congruent. Use transformations to explain your reasoning. $$\mathrm{Q}(2,4), \mathrm{R}(5,4), \mathrm{S}(4,1) \text { and } \mathrm{T}(6,4), \mathrm{U}(9,4), \mathrm{V}(8,1)$$