Quiz about Similar Sides

Question 1

Using a proportion, find the height of the tree.

Accepted Answer

x = 16 ft.

Answer

x = 0.0625 ft.

Answer

1.6 feet

Question 2

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

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 2

Answer

x = 5

Question 3

Review the picture. Find the missing side measurement in the picture using a proportion.

Accepted Answer

x = 25 m

Answer

x = 900 m

Answer

x = 52 m

Answer

x = 0.04 m

Question 4

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

Accepted Answer

20 feet

Answer

24 feet

Answer

29 feet

Answer

51 feet

Question 5

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is the length of the pond, AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 6

Which proportion correctly shows the corresponding sides of the two similar figures?

Accepted Answer

$$\frac{BE}{ED}=\frac{BC}{AC}$$

Answer

$$\frac{AC}{AB}=\frac{DE}{DA}$$

Answer

$$\frac{BD}{BE}=\frac{AB}{AC}$$

Answer

$$\frac{DE}{EB}=\frac{AC}{EC}$$

Question 7

$$\Delta PQR\ is\ similar\ to\ \Delta STU$$ What side corresponds to side UT?

Accepted Answer

RQ

Answer

PQ

Answer

QR

Answer

QP

Question 8

Which proportion can be used to solve for the missing side?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 9

Which proportion is true?

Accepted Answer

$$\frac{CA}{AB}=\frac{FD}{DE}$$

Answer

$$\frac{AB}{BC}=\frac{FE}{ED}$$

Answer

$$\frac{BC}{CA}=\frac{EF}{DE}$$

Answer

$$\frac{AB}{BC}=\frac{DE}{FD}$$

Question 10

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

Accepted Answer

22.5 cm

Answer

8 cm

Answer

10.8 cm

Answer

30 cm

Question 11

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

Accepted Answer

13.5 in.

Answer

11 in.

Answer

9 in.

Answer

20.25 in.

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