Quiz about Similarity Theorems

Question 1

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, SSS Similarity

Answer

Yes, AA Similarity

Answer

Yes, SAS Similarity

Answer

Not Similar

Question 2

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, SAS Similarity

Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Not Similar

Question 3

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

Accepted Answer

Yes, AA

Answer

Yes, SAS

Answer

Yes, SSS

Answer

Not Similar

Question 4

Which is the correct proportion for solving for x?

Accepted Answer

$$\frac{5x+5}{16}=\frac{35}{28}$$

Answer

$$\frac{5x+5}{35}=\frac{16}{44}$$

Answer

$$\frac{16}{44}=\frac{5x+5}{35}$$

Answer

$$\frac{28}{35}=\frac{5x+15}{16}$$

Question 5

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Not Similar

Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Yes, SAS Similarity

Question 6

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Not Similar

Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Yes, SAS Similarity

Question 7

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 8

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

Accepted Answer

congruent; similar

Answer

adjacent; equal

Answer

complementary; scalene

Answer

supplementary; isosceles

Question 9

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

Accepted Answer

proportional; similar

Answer

similar, proportional

Answer

congruent; congruent

Answer

equal; equilateral

Question 10

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.

Accepted Answer

proportional; included

Answer

adjacent; intersect

Answer

complementary; form

Answer

adjacent; create

Question 11

Find the missing length.

Accepted Answer

21

Answer

18

Answer

16

Answer

24

Question 12

Which proportion would be correct in order to solve for x.

Accepted Answer

x/10 = 15/30

Answer

x/10 = 45/30

Answer

x/10 = 15/45

Answer

x/10 = 30/15

Question 13

Select ANY correct proportion that can be used to solve for x.

Accepted Answer

$$\frac{x+6}{x}=\frac{21}{9}$$

Accepted Answer

$$\frac{x+6}{2x+6}=\frac{21}{30}$$

Answer

$$\frac{30}{x+6}=\frac{21}{2x+6}$$

Answer

$$\frac{x}{2x+6}=\frac{30}{9}$$

Question 14

Select the correct proportions to solve for x (there are multiple correct answers):

Accepted Answer

$$\frac{5x+10}{24}=\frac{15}{9}$$

Accepted Answer

$$\frac{24}{5x+10}=\frac{9}{15}$$

Answer

$$\frac{24}{15}=\frac{9}{5x+10}$$

Answer

$$\frac{9}{15}=\frac{5x+10}{24}$$

Question 15

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

Accepted Answer

SAS ~ Theorem

Answer

AA ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

Question 16

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

Accepted Answer

SAS ~ Theorem

Answer

AA ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

Question 17

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

Accepted Answer

AA ~ Theorem

Answer

SAS ~ Theorem

Answer

SSS ~ Theorem

Answer

Not similar

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