Unit 3, Lesson 8# Similarity

EngageNY 45 min(s)

Given two similar figures, students describe the sequence of a dilation and a congruence that would map one figure onto the other. Now in Topic B, figures are bound to the coordinate plane, and students describe translations in terms of units left or right and/or units up or down. It is this abundance that helps students realize that every congruence transformation (i.e., the act of "picking up a figure" and moving it to another location) can be accomplished through a sequence of translations, rotations, and reflections, and further, that similarity is a sequence of dilations or congruence transformations. Yes, we could dilate to make them the same size by using the appropriate scale factor.