Triangle Similarity Theorem and Review

Based on the drawing, which of the following statements is true?

• The triangles are similar because the lengths of the sides are congruent.

• The triangles are not similar because the corresponding angles are not congruent.

• The triangles are similar because the corresponding angles are congruent.

• Can not determine if the triangles are similar because the scale factor is unknown.

Which conditions must be met for two triangles to be similar?

• Corresponding angles are congruent, and corresponding sides are proportional.

• Corresponding angles are congruent, and corresponding sides are congruent.

• Corresponding angles are unequal, and corresponding sides are proportional.

• Corresponding angles are proportional, and corresponding sides are congruent.

These triangles are similar. They are not drawn to scale. What is the length of segment VW?

• 2

• 3

• 4

• 7

Figure Y is a dilation of Figure X.Which number best represents the scale factor used to change Figure X into Figure Y?

• 0.25

• 1.5

• 4

• 4.5

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Complete the Proof above.

• AA

• SSS

• SAS

• HL

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

• AA ~ Theorem

• SAS ~ Theorem

• SSS ~ Theorem

• Not similar

Do the two triangles fit the AA Similarity Postulate

• Yes

• No

Do the two triangles fit the AA Similarity Postulate

• Yes

• No

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, SSS

• Not Similar

• Yes, SAS

• Yes, AA