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.

Which transformation changes the size of a polygon?

• Reflection

• Dilation

• Rotation

• Translation

What is true about the corresponding angles of similar triangles?

• They are proportional.

• They are congruent.

• They are supplementary.

• They are complementary.

How can you confirm the similarity of two triangles using side lengths?

• By checking if the side lengths are supplementary.

• By checking if the side lengths are complementary.

• By checking if the side lengths are proportional.

• By checking if the side lengths are equal.

What is the length of segment MO if ON is 4 and NM is 3?

• 6 units

• 5 units

• 7 units

• 4 units

If angle R is congruent to angle O, what can be inferred about triangles PQR and MNO?

• They are identical.

• They are similar.

• They are congruent.

• They are different.