Similar Triangles Proportional Sides

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

• AA

• SAS

• SSS

• Not Similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Find the missing length.

• 21

• 18

• 16

• 24

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

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

If three sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar.

• AAA

• SAS

• Not similar

• SSS

If two sides of one triangle are proportional to two sides of another triangles and the included angles are congruent, then the triangles are similar.

• SSS

• AA

• ASA

• SAS

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

• AA

• SAA

• ASA

• AAA