Geometry Test: Similarity

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

What is the ratio of corresponding sides in similar triangles?

Back

The ratio of corresponding sides is constant.

Front

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

Back

If two angles of one triangle are equal to two angles of another triangle, 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 missing length in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?

Back

The ratio of their areas is (AB/DE)² = (4/8)² = 1/4.

Front

What is a scale factor in similarity?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar figures.

Front

If two triangles are similar and the length of one side of the first triangle is 5 and the corresponding side of the second triangle is 10, what is the scale factor?

Back

The scale factor is 2.

Front

What is the relationship between the angles of similar figures?

Back

All corresponding angles are equal.