AA Similarity Criteria

Is Triangle ABC similar to Triangle DEF?

• Yes, by SSS

• Yes, by SAS

• No, because the corresponding sides are not proportional.

• No, because we don't know if the included angles are congruent.

Determine if Triangle VEZ is similar to Triangle MAG

• No, because all of the angles are congruent.

• Yes, by AA

• No, because the sides are not proportional.

• Yes, by SAS

In the similar triangles below, what is y?

• 25

• 20

• 16

• 15

What does similarity mean?

• Same shape, same size and same corresponsding angle

• Same shape but not the same size, with the same corresponding angles and corresponding sides have the same ratio.

• Same shape, same size, same corresponding angles and corresponding sides have the same ratio

• Same shape, same size and corresponding sides have the same ratio.

Match the congruent triangles.

• Triangle A and Triangle C are congruent.

• Triangle B and Triangle D are congruent.

• Triangle A and Triangle B are congruent.

• Triangle C and Triangle D are congruent.

State the theorem/criteria that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

The next 4 questions focus on finding the value of x in this diagram.

Step 1: Write a proportion for the corresponding sides.