# Lesson 3 Similar Triangles & Other Figures Solidify Understanding

Solve each proportion. Show your work and check your solution.

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

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All right triangles are similar.

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

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The polygons on the grid are similar.

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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.

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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?

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

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