Similar Triangles Review

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.

Front

Complete the proportion: AB / BM = ? / CD. What is the missing term?

Back

AC.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

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 = 12 (using the ratio of sides: AB/DE = AC/DF).

Front

How can you determine if two triangles are similar using the AA criterion?

Back

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