Quiz about Similarity Proportional Parts

Question 1

QR is a midsegment of triangle WUV. What is the length of segment QR?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 2

QR is a midsegment of triangle BCD. Solve for the value of x.

Accepted Answer

11

Answer

18

Answer

9

Answer

-7

Question 3

Which theorem(s) can be used to prove triangle similarity?

Accepted Answer

SAS

Accepted Answer

AA

Accepted Answer

SSS

Answer

AAS

Answer

HL

Question 4

If \Delta ABG \sim \Delta VWG, find the values of x and y.

Accepted Answer

x = 10, y = 7.5

Answer

x = 10, y = 8

Answer

x = 7.5, y = 10

Answer

x = 8, y = 10

Question 5

Which of the following would you use to prove the two triangles are similar?

Accepted Answer

SAS

Answer

SSS

Answer

AA

Answer

$$Not\sim$$

Question 6

Are the two triangles similar? If so, how?

Accepted Answer

Yes, AA

Answer

Yes, SAS

Answer

No

Answer

Yes, SSS

Question 7

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

Not similar

Question 8

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

not similar

Answer

SAS

Answer

AA

Answer

SSS

Question 9

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long. What is the height of the second road sign?

Accepted Answer

12 ft

Answer

5 ft

Answer

10 ft

Answer

15 ft

Question 10

Two squares are similar. The ratio of the width of square J to the width of square M is 4:5. If the width of square J is 28 in, what is the perimeter of square M?

Accepted Answer

140 in

Answer

35 in

Answer

22.4 in

Answer

32 in

Question 11

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

Accepted Answer

259 feet

Answer

288 feet

Answer

5802 feet

Answer

275 feet

Question 12

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 13

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

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 14

Find the value of x using proportions.

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 15

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 16

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

Accepted Answer

Corresponding sides are proportional

Answer

Math

Answer

Corresponding sides are congruent

Answer

SSS similarity postulate

Question 17

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 18

Which triangles are similar to triangle A?

Accepted Answer

B

Answer

C

Answer

Both

Answer

None

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