Proving Triangle Similarity (SSS, SAS, AA)

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

• equal

• congruent

• proportional

• none of these

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

Find the missing length.

• 21

• 18

• 16

• 24

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-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

• proportional; similar

• similar, proportional

• congruent; congruent

• equal; equilateral

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

Are the triangles similar?

• Yes

• No

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• Not similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar