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Geometry Unit 2 Review

Total questions: 20

Worksheet time: 52mins

Name
Class
Date
1.

What is the sum of the interior angles of the decagon?

a)

360°

b)

180°

c)

1080°

d)

1440°

2.

What is the measure of X\angle X ?

a)

60°

b)

45°

c)

90°

d)

30°

3.

A polygon has an interior angle sum of 2160°. How many sides must the polygon have? Enter the number of sides the polygon will have.

(a)  

4.

If the length of each leg of an isosceles triangle is 10 meters, and the base is 12 meters long, what is the length of the altitude to the base?

a)

32\sqrt[]{32} m

b)

8m

c)

15 m

d)

8.5m

5.

What is the value of x?

(a)  

6.

What is mTm\angle T

(a)  

7.

A triangle has angles that measure (x + 30)°, (2x + 25)°, and (9x + 65)°, respectively. Which of the following terms describes this triangle?

a)

Equilateral

b)

Isosceles

c)

Right

d)

Obtuse

8.

In the diagram, ΔABC is an equilateral triangle with a perimeter of 24 inches. What is the length of altitude h of this triangle?

a)

4√2

b)

8√2

c)

4√3

d)

8√3

9.

If EF = 9, the value of AC is (a)  

10.

If EDF=60°\angle EDF=60\degree , the value of FDC\angle FDC is?

(a)  

11.

In an isosceles right triangle, the length of the hypotenuse is 525\sqrt[]{2} meters.

What is the length of one leg of the triangle?

a)

5m

b)

12 m

c)

6 m

d)

10 m

12.

ΔABC is shown.

Arrange the angle measures from least to greatest.

a)

B\angle B

b)

A\angle A

c)

C\angle C

1)
2)
3)
13.

∆𝑊𝑋𝑌 has 𝑚∠𝑊 = 35°, 𝑚∠𝑋 = 64°, and 𝑚∠𝑌 = 81°.

a)

XY

b)

WY

c)

WX

1)
2)
3)
14.

ΔEFD is a special triangle. What is the measure of ED?

a)

5 35\ \sqrt[]{3}

b)

5 65\ \sqrt[]{6}

c)

15

d)

10

15.

ΔABC\Delta ABC s a special triangle. What is the measure of BC?

a)

14 214\ \sqrt[]{2}

b)

7 27\ \sqrt[]{2}

c)

2 72\ \sqrt[]{7}

d)

7

16.

A rectangle has a diagonal of length 13 units and one side of length 5 units. What is the perimeter of the rectangle?

a)

36 units

b)

17 units

c)

34 units

d)

24 units

17.

If mC=56°m\angle C=56\degree , side AB is (a)  

Round answer to the nearest tenth (2 decimal places) if necessary.

18.

If mC=56°m\angle C=56\degree , side AC is (a)  

Round answer to the nearest tenth (2 decimal places) if necessary.

19.

An 28-foot ladder leaning against a wall makes an angle of elevation of 64° with the ground. How far up the wall is the ladder, to the nearest foot?

a)

20 ft

b)

26 ft

c)

25 ft

d)

19 ft

20.

In the diagram of ∆𝐵𝐸𝐷, 𝑚∠𝐸 = 90°, 𝑚∠𝐵 = 40°, and BD = 16 inches. What is the length of BE?

a)

13.4 in.

b)

12.3 in

c)

10.3 in

d)

10.1 in.