Similarity Review - Honors

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, then 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, then 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 three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

If the scale factor of two similar figures is 4:5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the scale factor, which is 16:25.

Front

How do you find the missing side length in similar triangles?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is the same as the ratio of their corresponding side lengths.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 8 and side DE is 10, what is the scale factor?

Back

The scale factor is 8:10 or simplified to 4:5.

Front

What is the significance of the included angle in SAS~?

Back

The included angle must be equal for the triangles to be considered similar under the SAS~ postulate.

Front

If two triangles are not similar, what can be said about their angles and sides?

Back

If two triangles are not similar, their corresponding angles are not equal, and their corresponding sides are not in proportion.