Unit 6 Test (Similarity)

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the property of two shapes being the same shape but possibly different sizes. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the AA Similarity Postulate?

Back

The AA (Angle-Angle) Similarity Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS Similarity Theorem?

Back

The SSS (Side-Side-Side) Similarity Theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS Similarity Theorem?

Back

The SAS (Side-Angle-Side) Similarity Theorem states that 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

How do you determine if two triangles are similar?

Back

To determine if two triangles are similar, check if they satisfy one of the similarity criteria: AA, SSS, or SAS.

Front

What is a scale factor in similarity?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similarity, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 cm and 8 cm respectively, what is the scale factor?

Back

The scale factor is 2, since 8 cm / 4 cm = 2.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, they are similar because they have the same angle measures.