Similarity 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 the scale factor represent in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

If Triangle ABC is similar to Triangle DEF with a scale factor of 2:3, what is the ratio of the areas of the triangles?

Back

The ratio of the areas is the square of the scale factor, so (2:3)² = 4:9.

Front

What is the 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 SAS similarity postulate?

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 SSS similarity postulate?

Back

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

Front

How do you simplify the ratio 30:15?

Back

Divide both terms by their greatest common divisor, which is 15, resulting in 2:1.

Front

If Triangle XYZ is similar to Triangle ABC and the length of side XY is 4 cm and side AB is 8 cm, what is the scale factor?

Back

The scale factor is 4:8 or simplified to 1:2.

Front

What is the relationship between the corresponding angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the scale factor of Triangle PQR to Triangle STU is 3:5, and the length of side PQ is 9 cm, what is the length of side ST?

Back

Using the scale factor, ST = (5/3) * 9 cm = 15 cm.