Triangle Similarity and Proportions

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

Find the value of x using proportions.

• a

• b

• c

• d

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

What additional information is required to prove the two triangles are congruent by SAS?

• A)
• B)
• C)
• D)

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

The pair of figures is similar. Find the missing side length.

• x = 10

• x = 4

• x = 2

• x = 5