Quiz about Similar Figures

Question 1

Triangle ABC has sides of length 5, 12, and 13. Triangle DEF has sides of length 10, 24, and 26. What is the ratio of the sides of triangle ABC to triangle DEF?

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{5}{12}$$

Answer

$$\frac{5}{10}$$

Question 2

Triangle ABC has angles measuring $$30^\circ$$ , $$60^\circ$$ , and $$90^\circ$$ . Triangle DEF has angles measuring $$30^\circ$$ , $$60^\circ$$ , and $$90^\circ$$ . Are these triangles similar?

Accepted Answer

Yes, they are similar.

Answer

No, they are not similar.

Question 3

Triangle MNO has sides of length 9, 12, and 15. Triangle PQR has sides of length 3, 4, and 5. What is the ratio of the sides of triangle MNO to triangle PQR?

Accepted Answer

3:1

Answer

1:3

Answer

2:1

Question 4

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Accepted Answer

proportional, congruent

Answer

congruent, proportional

Answer

congruent, congruent

Answer

proportional, proportional

Question 5

Sides in similar figures must be proportional.

Accepted Answer

True

Answer

False

Question 6

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 7

Which statement is true?

Accepted Answer

$$\angle E=\angle B$$

Answer

$$\angle A\ =\angle E$$

Answer

$$\angle F=\angle B$$

Answer

$$\angle C=\angle D$$

Question 8

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 9

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

Accepted Answer

x = 3

Answer

x = 1

Answer

x = 9

Answer

x = 5

Question 10

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

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 11

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

Accepted Answer

x = 5

Answer

x = 20

Answer

x = 12

Answer

x = 4

Question 12

The polygons are similar. Find x.

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 13

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

Accepted Answer

x =4

Answer

x = 11

Answer

x = 4.5

Answer

x = 5

Question 14

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

Accepted Answer

9.75

Answer

3.75

Answer

10

Answer

12

Question 15

Find the height of the person using what you know about similar triangles.

Accepted Answer

6.25 ft

Answer

4 ft

Answer

1.25 ft

Answer

5.75 ft

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