Similar Triangle Parts

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

Are the triangles similar?

• Yes

• No

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

• equal

• congruent

• proportional

• none of these

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

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

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

Find the missing side using proportions.

• a

• b

• c

• d