Homework 6: Parts of Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

How do you find the length of a side in similar triangles?

Back

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 3, what is the ratio of their areas?

Back

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you use proportions to solve for unknown lengths in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

Back

Front

What is the significance of the angle bisector in triangle similarity?

Back

The angle bisector helps establish proportional relationships between the sides of the triangle.