Free Printable Geometry B Final Review

1.

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

2.

What do all of the angles of a quadrilateral have to add up to?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

3.

A rectangle is also a square.
True or False?

a)

True

b)

False

4.

Which of the following properties is true about parallelograms?

a)

Base angles are congruent.

b)

Diagonals are congruent.

c)

Opposite sides are parallel.

5.

What shape is this?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

6.

The diagonals of a parallelogram

a)

are always congruent

b)

bisect each other

c)

are never congruent

d)

parallel

7.

A rhombus is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

8.

A rectangle is a paralellogram.

a)

True

b)

False

9.

All squares are rectangles.

a)

True

b)

False

10.

All rectangles are squares.

a)

True

b)

False

11.

A trapezoid is a paralellogram.

a)

True

b)

False

12.

All squares are rhombuses.

a)

True

b)

False

13.

The diagonals of a ________ are congruent

a)

Parallelogram

b)

Rectangle and square

c)

Rhombus and square

d)

Trapezoid

14.

Which statement is FALSE?
A parallelogram _____________

a)

Has 2 sets of parallel sides

b)

Has diagonals that are perpendicular

c)

Has diagonals that bisect each other

15.

ABCD is a rhombus
What is the measurement of angle AED?

a)

60

b)

45

c)

90

d)

180

16.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

17.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

18.

Which quadrilateral(s) have diagonals that bisect each other?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

19.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

20.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

21.

Find the AREA of this figure.

a)

160 square feet

b)

161 feet

c)

106

d)

1600 feet

22.

What is the area of the rectangle?

a)

15 sq cm

b)

8 cm

c)

2

d)

16 cm

23.

What is the area of this rectangle?

a)

26 centimeters

b)

40 square centimeters

c)

35 square centimeters

d)

13 centimeters

24.

How do you find the area of a rectangle?

a)

Length + Length + Length + Length

b)

Length + Width

c)

Length x Width

d)

Width x Width

25.

Find the PERIMETER of this figure.

a)

10 square feet

b)

20 cm

c)

25 square feet

d)

15 cm

26.

What is the perimeter of the rectangle? (Hint: top matches the bottom, left matches the right!)

a)

24 sq feet

b)

28 feet

c)

42 feet

d)

48 sq feet

27.

What is the missing measurement?

a)

9 cm

b)

54 cm

c)

18 cm

d)

162 cm

28.

What is the perimeter of this rectangle?

a)

24 in

b)

34 cm

c)

60 cm

d)

36 in

29.

If the Perimeter of this rectangle is 16 feet and the width is 6 feet, what is the length?

a)

15 feet

b)

4 feet

c)

2 feet

d)

7 feet

30.

If the Perimeter of the rectangle is 20 feet and the width is 8 feet, what is the length?

a)

4 feet

b)

2 feet

c)

7 feet

d)

8 feet

31.

If a rectangle has an area of 36 and the width is 4, what is the perimeter?

a)

9ft

b)

26 ft.

c)

36 ft

d)

4ft

32.

If the perimeter of a rectangle is 42 and the legth is 6, what is the area?

a)

15 in.

b)

6in.

c)

7in.

d)

42in.

33.

The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?

a)

9 units

b)

7 units

c)

10 units

d)

8 units

34.

A perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be?

a)

17 m

b)

13 m

c)

15 m

35.

A rectangular pizza has a perimeter of 24 inches. If the length is 8 inches, what is the width?

a)

4 inches

b)

6 inches

c)

8 inches

d)

3 inches

36.

If the area of a shape is 50 square feet and the width is 10 feet, what is the length?

a)

40 feet

b)

10 feet

c)

5 feet

d)

15 feet

37.

Given a rectangle with an Area of 96 sq. ft. Find the width if the height is 8 ft.

a)

768 sq. ft.

b)

768 ft.

c)

12 sq. ft

d)

12 ft.

38.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

1500 cm ²

39.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a surface area of 650 cm². What is the height of the brick?

a)

20 cm

b)

43 cm

c)

14 cm

d)

10 cm

40.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

41.

Given a cylinder with a surface area of 2543 cm²and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.

a)

36.0 cm

b)

45.0 cm

c)

10 cm

d)

282.6 cm

42.

Calculate the surface area.

a)

54 m²

b)

96 m²

c)

99 m²

d)

61 m²

43.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

44.

Calculate the surface area.

a)

12.0 m²

b)

8.0 m²

c)

5.3 m²

d)

20.0 m²

45.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label?

a)

75.40 in²

b)

75.40 in

c)

175.93 in

d)

175.93 in²

46.

Calculate the surface area.

a)

904.78 mm²

b)

452.39 mm²

c)

3,216.99 mm²

d)

3,392.92 mm²

47.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

48.

Which measurement is closest to the difference between the surface areas of the these two bins? Round to the nearest square foot.

a)

1,257 ft²

b)

4,400 ft²

c)

11,717 ft²

d)

3,143 ft²

49.

Choose the correct statement.

a)

Cylinder A has a greater surface area than Cylinder B.

b)

Cylinder B has a greater surface area than Cylinder A.

c)

Cylinder A and Cylinder B have the same surface area.

50.

An ice cream cone has a radius of 2 inches and a slant height of 10 inches. What is the surface area of this cone?

a)

138.2 in²

b)

12.6 in²

c)

125.7 in²

d)

150.8 in²

51.

A party hat has a diameter of 18 centimeters and a slant height of 7 centimeters. Calculate the amount of material it takes to make this party hat.

a)

904.8 cm²

b)

395.8 cm²

c)

254.5 cm²

d)

452.4 cm²

52.

A sphere has a surface area of 540.2 ft². What must the radius be, rounded to the nearest hundredth?

a)

6.6 ft

b)

15.5 ft

c)

5.2 yards

d)

31 yards

53.

Calculate the surface area of the given prism.

a)

316 cm²

b)

352 cm²

c)

440 cm²

d)

292 cm²

54.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

55.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

56.

Find the volume

a)

1120 ft²

b)

2011 ft²

c)

120 ft³

d)

1120 ft³

57.

B represents...

a)

Area of Base

b)

Base

c)

Bottom

d)

Area of Bridge

58.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

59.

Find the volume of the prism.

a)

27 cm³

b)

72 cm³

c)

180 cm³

d)

360 cm³

60.

a)

45mm²

b)

45mm³

c)

3,375mm³

d)

3,375mm²

61.

What is the volume of this prism?

a)

16 cubic cm

b)

36 cubic cm

c)

144 cubic cm

62.

What is the volume of this prism?

a)

24 cubic cm

b)

240 cubic cm

c)

60 cubic cm

63.

Find the Volume

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

64.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

65.

Which of the following names a diameter?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segment BC

66.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

67.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

68.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

69.

A chord is a segment that connects ___________

a)

the center to the endpoint

b)

to one point outside the circle

c)

a central angle

d)

2 endpoints of a circle

70.

An angle whose vertex lies on the circle and whose sides are chords of the circle

a)

inscribed angle

b)

central angle

c)

arc

d)

radius

71.

A line that intersects a circle at exactly one point

a)

secant

b)

circle

c)

chord

d)

tangent

72.

An angle whose vertex is the center of a circle

a)

central angle

b)

inscribed angle

c)

minor arc

d)

major arc

73.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

74.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

a)

C:(4, -2), r=5

b)

C:(-4, 2), r=5

c)

C:(4, -2), r=25

d)

C:(-4, 2), r=25

75.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

76.

What is the center of a circle with equation (x-4)² + y² = 5?

a)

(-4, 0)

b)

(4, 0)

c)

(4, 1)

d)

(-4, 1)

77.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

78.

Write the Standard Equation for a circle with a center (-2,5) and radius 7

a)

(x+2)² + (y-5)² = 49

b)

(x+9)² + (y-6)² = 49

c)

(x+2)² + (y-5)² = 32

79.

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

a)

8 cm

b)

9 cm

c)

2 cm

d)

16 cm

80.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

81.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

82.

Which equation matches the graph?

a)

$y=-\frac{1}{4}x+2$

b)

$y=\frac{1}{4}x+2$

c)

$y=4x+2$

d)

$y=2x+4$

83.

Match the equation to the correct graph:

$y=-\frac{1}{2}x+7$

a)

b)

c)

d)

84.

What is the slope (m) of the line?

y=\frac{5}{4}x-9

a)

$m=-9$

b)

$m=-\frac{5}{4}$

c)

$m=\frac{5}{4}$

d)

5 units right and 4 units up

e)

can't be determined

85.

What is true about slope (m)? Select all that apply?

a)

$m=\frac{rise}{run}$

b)

$m=\frac{change\ in\ y}{change\ in\ x}$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

m is always constant

e)

m is the steepness of a line

86.

What is the slope (m) parallel to the line?

y=\frac{1}{2}x+3

a)

$m=3$

b)

$m=\frac{1}{2}$

c)

$m=-\frac{1}{2}$

d)

$m=-2$

87.

What is the slope (m) perpendicular to the line?

y=\frac{3}{2}x-4

a)

$m=-4$

b)

$m=\frac{3}{2}$

c)

$m=\frac{2}{3}$

d)

$m=-\frac{2}{3}$

88.

True or false, slope is modeled on a graph by a right triangle?

a)

true

b)

false

89.

Are these lines parallel, perpendicular, or just intersecting (not at a right angle)?

Feel free to graph if needed.

y=-4x+3

and

y=-4x-1

a)

parallel

b)

perpendicular

c)

intersecting (not at a right angle)

90.

Are these lines parallel, perpendicular, or just intersecting (not at a right angle)? Feel free to graph if needed. $y=-\frac{2}{3}x+3$ and $y=\frac{4}{3}x-1\$

a)

parallel

b)

perpendicular

c)

intersecting (not at a right angle)

91.

What is the equation of the line that is parallel to $y=5x+7$ and goes through the point (0, -2)?

Feel free to graph.

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5x-10

d)

y = -1/5x - 2

92.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

93.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

94.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

95.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

96.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

97.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

98.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

99.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

100.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

101.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

102.

Simplify.
$\left(3m^4-6m^2-4m\right)+\left(7m^4-6m^2-5m\right)$

a)

$10m^4-14m^2-9m-6$

b)

$10m^4-12m^2-9m-6$

c)

$10m^4-14m^2-9m-8$

d)

$10m^4-12m^2-9m$

103.

Simplify.
$\left(8+6k-5k^2\right)-\left(8-7k^4+3k\right)$

a)

$6k^4-10k^2+3k$

b)

$6k^4-5k^2+3k$

c)

$6k^4-10k^2$

d)

$7k^4-5k^2+3k$

104.

Simplify.
$\left(6v^4-7v+1\right)+\left(1-6v^4-7v\right)$

a)

$-14v+2$

b)

$-9v+2$

c)

$-9v+10+2v^4$

d)

$-9v+10$

105.

Simplify.
$\left(m^2-m+3\right)-\left(2m-6-m^2\right)$

a)

$-10m^2-3m+9$

b)

$-5m^2-3m+9$

c)

$-10m^2-4m+9$

d)

$2m^2-3m+9$

106.

Simplify.
$\left(6k^2-7k^4-6k\right)+\left(6k+5k^4+7\right)$

a)

$-3k^4+6k^2+8$

b)

$-2k^4+6k^2+7$

c)

$-2k^4+6k^2+8$

d)

$k^4+6k^2+8$

107.

Simplify.
$\left(3a-1+a^2\right)-\left(7a^2-5a+7\right)$

a)

$-6a^2+8a$

b)

$2a^2+8a+7$

c)

$-6a^2+8a+7$

d)

$-6a^2+8a-8$

108.

Simplify.
$\left(3x^3+x^4+6x^2\right)+\left(7x^2+4x^3-6x^4\right)$

a)

$9x^4+7x^3+13x^2$

b)

$2x^4+7x^3+13x^2$

c)

$-5x^4+7x^3+13x^2$

d)

$9x^4+9x^3+13x^2$

109.

Simplify.
$\left(3n^4+2+6n^2\right)+\left(4n+n^4+4\right)$

a)

$4n^4+6n^2+4n+6$

b)

$n^4+6n^2+7n+1$

c)

$n^4+6n^2+4n+6$

d)

$n^4+6n^2+7n+6$

110.

Simplify.
$\left(4+6x^4+7x\right)-\left(6x-2x^4+4\right)$

a)

$8x^4+x$

b)

$19x^4+x-6$

c)

$8x^4+x-6$

d)

$14x^4+x-6$

111.

Simplify.
$\left(3+6b-8b^3\right)-\left(6b^3-7b-7\right)$

a)

$-17b^3+13b+17$

b)

$-17b^3+15b+17$

c)

$-14b^3+13b+10$

d)

$-17b^3+13b+10$

112.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

113.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

114.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

115.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

Geometry B Final Review

Total questions: 115

Worksheet time: 10hrs 35mins

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