Lesson 3Similar Triangles & Other FiguresSolidify Understanding

Set

Provide an argument to prove each conjecture, or provide a counterexample to disprove it.

10.

All right triangles are similar.

11.

All regular polygons are similar to other regular polygons with the same number of sides.

12.

The polygons on the grid are similar.

13.

The polygons on the grid are similar.

A sequence of transformations occurred to create the two similar polygons. Provide a specific set of steps that can be used to create the image from the pre-image with one, two, or three transformations.

18.

One definition of similar triangles is based on transformations. However, there are other criteria for determining whether or not triangles are similar. What are these other criteria?

19.

Determine whether or not the pairs of triangles are similar and explain why.

Go

For each pair of similar polygons, give three ratios that would be equivalent.