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Math 8_3rd Exam Review

Total questions: 47

Worksheet time: 52mins

Name
Class
Date
1.

Alternate interior angles formed by the lines and a transversal are _________.

a)

congruent

b)

not congruent

c)

complementary angles

d)

supplementary angles

2.

It is considered as the longest side of a right triangle.

a)

leg

b)

hypotenuse

c)

adjacent to the 90-degree angle

3.

Which of the following is true about the exterior angle of a triangle?

a)

It is equal to the difference of the remote interior angles.

b)

It is greater than the difference of the remote interior angles.

c)

It is less than the the sum of the remote interior angles.

d)

It is equal to the sum of the remote interior angles.

4.

Similar triangles have at least two congruent angles.

a)

TRUE

b)

FALSE

5.

These are angles that lie within a pair of lines and on the same side of a transversal line and are supplementary.

a)

Alternate Interior Angles

b)

Same-side Interior Angles

c)

Corresponding Angles

d)

Vertical Angles

6.

Which of the following is true about Pythagorean Theorem?

a)

The sum of the squares of the lengths of the legs is not equal to the square of the length of the hypotenuse.

b)

The sum of the squares of the lengths of the legs is less than to the square of the length of the hypotenuse.

c)

The sum of the squares of the lengths of the legs is greater than to the square of the length of the hypotenuse.

d)

The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

7.

What is the sum of all the interior angles in triangle?

a)

180-degrees

b)

90-degrees

c)

360-degrees

d)

270-degrees

8.

Volume is the total area of the surfaces of a three-dimensional figure.

a)

True

b)

False

9.

Surface area is the total space enclosed/occupied by any 3-dimensional object or solid shape.

a)

True

b)

False

10.

Pythagorean Theorem describes what type of triangles?

a)

Acute Triangles

b)

Equilateral Triangles

c)

Right Triangles

d)

Equiangular Triangles

11.

In the given illustration, angles 1 and 5 are called what?

a)

Same-side Interior Angles

b)

Alternate Interior Angles

c)

Corresponding Angles

d)

Vertical Angles

12.

In the given illustration, angles 2 and 8 are called what?

a)

Same-side Interior Angles

b)

Alternate Interior Angles

c)

Corresponding Angles

d)

Vertical Angles

13.

Which pairs of angles are supplementary?

a)

1 and 6

b)

1 and 7

c)

2 and 4

d)

5 and 3

14.

Do side lengths 6 in, 8 in, and 9 in make a right triangle?

a)

Yes, 92=62+829^2=6^2+8^2

b)

Yes, 92>62+829^2>6^2+8^2

c)

No, 92<62+829^2<6^2+8^2

d)

No, 92≠62+829^2\ne6^2+8^2

15.

Do side lengths 9.6 units, 12.8 units, and 16.0 units make a right triangle?

a)

Yes, 12.82+9.62=16212.8^2+9.6^2=16^2

b)

Yes, 12.82+9.62<16212.8^2+9.6^2<16^2

c)

No, 12.82+9.62>16212.8^2+9.6^2>16^2

d)

Yes, 12.82+9.62≠16212.8^2+9.6^2\ne16^2

16.

Which of the following makes a right triangle?

a)

21, 21, and 21

b)

4.5, 7.5 and 9.5

c)

5.6, 2.5 and 6.4

d)

5, 5 and 50\sqrt[]{50}

17.

If ΔYZX\Delta YZX is a right triangle, what is the measure of the side YX?

a)

41 cm

b)

29 cm

c)

20 cm

d)

25 cm

18.

What is the value of the variable b?

a)

8 cm

b)

22.67 cm

c)

15 cm

d)

17 cm

19.

If the legs of a right triangle measure 9 units and 12 units, how long is its hypotenuse?

a)

17 units

b)

9 units

c)

15 units

d)

12 units

20.

Which of the following is a right triangle?

a)

b)

c)

21.

What is the measure of side KL?

a)

4 units

b)

5 units

c)

3 units

d)

41 units

22.

What is the measure of the unknown angle?

a)

70-degrees

b)

50-degrees

c)

130-degrees

d)

180-degrees

23.

Find the measure of angle x.

a)

35035^0

b)

65065^0

c)

80080^0

d)

1450145^0

24.

Find the measure of angle x.

a)

93093^0

b)

1290129^0

c)

1380138^0

d)

87087^0

25.

What is the value of x?

a)

x = 108

b)

x = 45

c)

x = 49

d)

x = 153

26.

Angle A and the 20-degree angle are pairs of what?

a)

same-side interior angles

b)

alternate interior angles

c)

corresponding angles

d)

vertical angles

27.

What is the measure of Angle A?

a)

20-degrees

b)

60-degrees

c)

100-degrees

d)

40-degrees

28.

Angle C and the 100-degree angle are pairs of what?

a)

same-side interior angles

b)

alternate interior angles

c)

corresponding angles

d)

vertical angles

29.

What is the measure of Angle C?

a)

20-degrees

b)

60-degrees

c)

100-degrees

d)

40-degrees

30.

What is the measure of Angle B?

a)

20-degrees

b)

60-degrees

c)

100-degrees

d)

40-degrees

31.

Are the two given triangles similar?

a)

No, they are not similar.

b)

Yes, they are similar.

c)

The given measurements are not enough.

32.

Are the two given triangles similar?

a)

No, they are not similar.

b)

Yes, they are similar.

c)

The given measurements are not enough.

33.

If triangle ABC is similar to triangle DEF, then what is the measure of angle E?

a)

56056^0

b)

46046^0

c)

78078^0

d)

1020102^0

34.

Find the measure of angle J if the measure of angle LNK is 50 degrees.

a)

180-degrees

b)

50-degrees

c)

60-degrees

d)

70-degrees

35.

How far is point A from point B?

a)

6 units

b)

3 units

c)

6.7 units

d)

5 units

36.

What is the distance between point A and point C?

a)

6 units

b)

3 units

c)

6.7 units

d)

5 units

37.

What is the height of triangle ACB?

a)

3 units

b)

4 units

c)

3.6 units

d)

5 units

38.

Find the length measure of CB.

a)

3 units

b)

4 units

c)

3.6 units

d)

5 units

39.

What is the surface area of the cylinder with a height of 11 cm and a base radius of 2 cm?

Use 3.14 for the π\pi .

a)

81.64 cm281.64\ cm^2

b)

163.28 cm2163.28\ cm^2

c)

50.24 cm250.24\ cm^2

d)

138.16 cm2138.16\ cm^2

40.

What is the volume of the cylinder with a height of 11 cm and a base radius of 2 cm?

Use 3.14 for the π\pi .

a)

46.05 cm346.05\ cm^3

b)

163.28 cm3163.28\ cm^3

c)

33.49 cm333.49\ cm^3

d)

138.16 cm3138.16\ cm^3

41.

What is the surface area of the cylinder with a height of 110 feet and a base diameter of 42 feet?

Use 3.14 for the π\pi .

a)

17,276.28 feet217,276.28\ feet^2

b)

152,321.4 feet2152,321.4\ feet^2

c)

8,638.14 feet28,638.14\ feet^2

d)

116,218.16 feet2116,218.16\ feet^2

42.

What is the volume of the cylinder with a height of 110 feet and a base diameter of 42 feet?

Use 3.14 for the π\pi .

a)

17,276.28 feet317,276.28\ feet^3

b)

152,321.40 feet3152,321.40\ feet^3

c)

8,638.14 feet38,638.14\ feet^3

d)

116,218.16 feet3116,218.16\ feet^3

43.

What is the surface area of the given cone?

Use 3.14 for the π\pi .

a)

2,463.01 meters22,463.01\ meters^2

b)

5,453.80 meters25,453.80\ meters^2

c)

9,852.03 meters29,852.03\ meters^2

d)

2,813.44 meters22,813.44\ meters^2

44.

What is the volume of the given cone?

Use 3.14 for the π\pi .

a)

28,938.24 meters328,938.24\ meters^3

b)

86,814.72 meters386,814.72\ meters^3

c)

57,876.48 meters357,876.48\ meters^3

45.

What is the vertical height of the cone?

a)

5 m

b)

5.66 m

c)

6.32 m

d)

6 m

46.

What is the volume of the cone?

a)

33.49 m333.49\ m^3

b)

75.36 m375.36\ m^3

c)

25.12 m325.12\ m^3

d)

23.68 m323.68\ m^3

47.

What is the volume of the sphere?

a)

4,559.28 cm34,559.28\ cm^3

b)

9,118.56 cm39,118.56\ cm^3

c)

6,079.04 cm36,079.04\ cm^3

d)

44,579.63 cm344,579.63\ cm^3