SIMILARITY REVIEW

Front

What is the scale factor in similar triangles?

Back

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

Front

If triangle A has sides of length 6, and triangle B has sides of length 9, what is the scale factor from triangle A to triangle B?

Back

The scale factor is 3/2.

Front

What does AA~ mean in triangle similarity?

Back

AA~ means that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

What is the SAS similarity criterion?

Back

SAS similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

SSS similarity states that if the lengths of all three sides of one triangle are proportional to the lengths of the corresponding sides of another triangle, then the triangles are similar.

Front

What is the AAS similarity criterion?

Back

AAS similarity states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Front

How do you determine if two triangles are similar?

Back

You can determine if two triangles are similar by checking if they meet any of the similarity criteria: AA~, SAS~, SSS~, or AAS~.

Front

If triangle A has a side length of 12 and triangle B has a corresponding side length of 18, what is the scale factor from triangle A to triangle B?

Back

The scale factor is 3/2.

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 scale factor.

Front

If the scale factor between two similar triangles is 4/3, what is the ratio of their areas?

Back

The ratio of their areas is (4/3)² = 16/9.