Free Printable Geometry Final Exam Review

1.

Find the area of a sector with a radius of 9ft and an angle measure of $132\degree$

a)

$10.27ft^2$

b)

$93.31ft^2$

c)

$29.7ft^2$

d)

$85ft^2$

2.

What is the area of the shaded sector?

a)

$6.56yd^2$

b)

$7.49yd^2$

c)

$8.72yd^2$

3.

What is the formula for finding the area of a sector.

a)

$\left(\frac{n}{360}\right)\pi r^2$

b)

$2\pi r$

c)

$\pi r^2$

4.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

5.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

6.

What is the distance between (2,9) and (1,5)?

a)

15

b)

17

c)

4.12

d)

3.87

7.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

8.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

9.

Find the value of "x".

a)

23

b)

15

c)

8

d)

38

10.

Find the value of "x"

a)

6

b)

4

c)

8

d)

2

11.

Find the value of "x"

a)

8

b)

12

c)

4

d)

2

12.

Find the value of "x"

a)

16

b)

7

c)

2

d)

6

13.

Find the value of "x"

a)

4

b)

2

c)

7

d)

5

14.

a)

47

b)

57

c)

53

d)

133

15.

Solve for x.

a)

-8

b)

-4

c)

-6

d)

-10

16.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

17.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

18.

Solve for x.

a)

1

b)

2

c)

3

d)

4

19.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

20.

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

a)

7√2

b)

49√2

c)

7

d)

7√7

21.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

22.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

23.

What is the sum of the interior angles of a hexagon?

a)

180 degrees

b)

540 degrees

c)

720 degrees

d)

900 degrees

24.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

25.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

26.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

27.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

28.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

29.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

30.

Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?

a)

(x-1)²+(y+3)²=4

b)

(x-1)²+(y+3)²=16

c)

(x+1)²+(y-3)²=4

d)

(x+1)²+(y-3)²=16

31.

a)

(x-3)²-(y+1)²=8

b)

(x-3)²+(y+1)²=8

c)

(x+3)²+(y-1)²=16

d)

(x-3)²-(y+1)²=16

e)

(x-3)²+(y+1)²=16

32.

What is the equation of this circle?

a)

(x - 2)² + (y - 1)² = 4

b)

(x + 2)²+(y + 1)²=16

c)

(x + 2)² + (y - 1)² = 4

d)

(x + 2)²+(y - 1)²=16

33.

Write the equation of the circle with center C( -5, 8 ) and radius = 7.

a)

( x - 5 )² + ( y + 8 )² = 14

b)

( x - 5 )² + ( y - 8 )² = 49

c)

( x - 5 )² + ( y + 8 )² = 49

d)

( x + 5 )² + ( y - 8 )² = 49

34.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

35.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

36.

Which value of x will show that lines l and m are parallel?

a)

20

b)

22

c)

24

d)

25

37.

Which value of x will show that line m is parallel to line r?

a)

33

b)

25

c)

24

d)

20

38.

Shown is a circular photo surrounded by a frame.

The photo has radius 12cm.

The frame has width 4cm.

Work out area of the frame.

This area is shaded in the diagram.

a)

$351.86m^2$

b)

$351.86cm^2$

c)

$402.12cm^2$

39.

What is/are the formula(s) to find the area of a circle?

a)

πr²

b)

2πr

c)

√π

40.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

41.

The diagonals of a ________ are congruent

a)

Parallelogram

b)

Rectangle and square

c)

Rhombus and square

d)

Trapezoid

42.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

60

b)

100

c)

80

d)

20

43.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

64

b)

12

c)

9

d)

100

44.

a)

10

b)

12

c)

14

d)

16

45.

a)

A

b)

B

c)

C

d)

D

46.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

47.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

Geometry Final Exam Review

Total questions: 47

Worksheet time: 12hrs 45mins

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