Similar Triangles & Midsegment Theorem Test Review

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

State the AA (Angle-Angle) Similarity Postulate.

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does the SSS (Side-Side-Side) Similarity Theorem state?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

Explain the SAS (Side-Angle-Side) Similarity Theorem.

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the Midsegment Theorem?

Back

A midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 3, what is the ratio of similarity?

Back

The ratio of similarity is 2:1.

Front

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

Back

Use the proportion of the lengths of corresponding sides to set up a ratio and solve for the unknown length.

Front

Back

The ratio of similarity is 2:1.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

Back