Dilations and Similarity Review

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, 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 using one of the similarity criteria: AA, SAS, or SSS.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 and 8 respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

If two triangles have one angle of 60 degrees and the other angles are 30 degrees and 90 degrees, are they similar?

Back

Yes, they are similar by the AA criterion.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are congruent.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 and side PQ is 10, what is the length of side XZ if side PR is 15?

Back

The length of side XZ is 7.5.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.