Similarity Theorems

Write a proportion to find the length of "?"

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

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

• adjacent; equal

• complementary; scalene

• congruent; similar

• supplementary; isosceles

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

• adjacent; intersect

• complementary; form

• adjacent; create

• proportional; included

Which is not a similar triangle theorem?

• ASA∼

• SAS∼

• SSS∼

• AA∼

Find the missing length.

• 21

• 18

• 16

• 24

Select ANY correct proportion that can be used to solve for x.

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~