Determining Similarity of Right Triangles Using Angle Measures

This lesson teaches how to determine if two right triangles are similar by examining their corresponding parts on a coordinate plane. It reviews similarity transformations, including translation, reflection, rotation, and dilation, and explains how these transformations affect the shape and size of polygons. The lesson also covers the properties of similar triangles, such as proportional side lengths and congruent angles. By using the Pythagorean theorem and checking side length ratios, students learn to confirm triangle similarity, even when only angle measures are known.

Describe how to check if the ratios of the sides of two triangles are proportional.

What is the significance of having three pairs of corresponding angles congruent in triangles?