Similarity Test Review

Front

What is the definition of 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 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 SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side Similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, 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

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the lengths of corresponding sides of the two triangles.

Front

If Triangle PQR ~ Triangle DEF, and the length of side PQ is 10 and side DE is 5, what is the scale factor?

Back

The scale factor is 2:1 (10/5).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles are similar, how does the area of one triangle compare to the area of the other?

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 ~ Triangle XYZ, and the lengths of sides AB, BC, and CA are 6, 8, and 10 respectively, what are the corresponding sides of Triangle XYZ if the scale factor is 3?

Back

The corresponding sides of Triangle XYZ would be 18, 24, and 30 respectively (6*3, 8*3, 10*3).

Front

What is the missing segment if one side of a triangle is 14 and the other corresponding side is unknown?

Back

The missing segment is 14.