Proving Similar Triangles Using AA, SSS and SAS

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Find the missing side using proportions.

• a

• b

• c

• d

Find the missing side using proportions.

• a

• b

• c

• d

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

• AA

• SAS

• SSS

• Not Similar

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

• AA

• SAS

• SSS

• Not Similar

Are the triangles similar?

• Yes

• No

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

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