Similar Triangles Unit 4 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

What is the Angle-Angle (AA) similarity postulate?

Back

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

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

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

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

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

Back

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

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

The lengths of corresponding sides in similar triangles are proportional.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 6 (using the proportion: AB/DE = AC/DF => 4/8 = 6/DF => DF = 6).

Front

What is the formula for finding the area of similar triangles?

Back

If the ratio of the sides of two similar triangles is a:b, then the ratio of their areas is a^2:b^2.

Front

What is a transversal in relation to parallel lines?

Back

A transversal is a line that intersects two or more lines at different points, creating angles.