Free Printable Final Exam Study Guide

1.

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

a)

(5,5)

b)

(1,9)

c)

(17,17)

d)

(-4,-4)

2.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

3.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

4.

Find the distance between (-5, -8) and (-1, -16).

a)

$4\sqrt{37}$

b)

$5\sqrt{4}$

c)

10

d)

$4\sqrt{5}$

5.

Find the distance.

a)

$2\sqrt{15}$

b)

$\sqrt{61}$

c)

$\sqrt{11}$

d)

$\sqrt{5}$

6.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

7.

M is the midpoint of the line segment. Find the value of x.

a)

x=47

b)

x=19

c)

x=33

d)

x= -47

8.

a)

-3

b)

0

c)

1

d)

3

9.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

10.

Solve for x.

a)

16

b)

11

c)

50

d)

6

11.

Find the measure of the indicated angle.

a)

87 degrees

b)

82 degrees

c)

83 degrees

d)

72 degrees

12.

Solve for x

a)

28

b)

12

c)

10

d)

2

13.

What is the correct EQUATION to find the value of x AND what is the value of x?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

14.

Solve for x.

a)

A

b)

B

c)

C

d)

D

15.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

16.

Solve for the value of x.

a)

55

b)

60

c)

65

d)

70

17.

What is the value of x?

a)

13

b)

6.2

c)

29.8

18.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

19.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

20.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

21.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

22.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

23.

Determine what type (if any) of a triangle would have the following side lengths:

4, 6, 15

a)

acute

b)

obtuse

c)

right

d)

not a triangle

24.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

25.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

between 8 and 16

b)

less than 4, greater than 12

c)

between 4 and 12

26.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

27.

A polygon with 5 sides is called a(n) _____________.

a)

pentagon

b)

hexagon

c)

septagon

d)

quadrilateral

28.

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

a)

(n - 2)180

b)

(n - 1)180

c)

360

d)

(n - 3)(180)

29.

Find the sum of the interior angles of a nonagon.

a)

1260

b)

900

c)

1620

d)

180

30.

Solve for x.

a)

100

b)

120

c)

125

d)

130

31.

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

a)

360

b)

n

c)

(n - 2)180

d)

(n - 1)180

32.

If a five sided irregular polygon has the following known exterior angles measures:
$36\degree$ $124\degree$ $74\degree$ $56\degree$
What is the fifth exterior angle measure?

a)

$70\degree$

b)

$71\degree$

c)

$10\degree$

d)

$0\degree$

33.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

34.

Order the sides of the triangle from longest to shortest.

a)

KL, ML, KM

b)

KL, KM, ML

c)

KM, ML, KL

d)

KM, KL, ML

35.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

36.

solve for X

a)

19

b)

20

c)

33

d)

53

37.

Solve for x. Each figure is a parallelogram.

a)

6

b)

12

c)

4

d)

10

38.

Solve for x. Each figure is a parallelogram.

a)

0

b)

8

c)

2

d)

1

39.

a)

x = 30, y = 40

b)

x = 40, y = 30

c)

x = 40, y = 15

d)

x = 30, y = 30

40.

UTSV is a trapezoid. Find the missing angle.

a)

$102\degree$

b)

$180\degree$

c)

$92\degree$

d)

$88\degree$

41.

ADCB is a trapezoid. Find the value of x.

a)

7

b)

8

c)

85

d)

96

42.

a)

-7.6

b)

3

c)

12

d)

3.745

43.

a)

-3.6

b)

7.9

c)

7

d)

9.5

44.

a)

7.6

b)

0.17

c)

11.6

d)

9

45.

a)

1.3

b)

14

c)

4.8

d)

3.6

46.

a)

-3.6

b)

7.9

c)

7

d)

9.5

47.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

48.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

49.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

50.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

51.

Are the triangles similar?

a)

Yes

b)

No

52.

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

a)

0

b)

64

c)

8

d)

32

53.

What is geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

54.

Find the value of x.

a)

12

b)

4√2

c)

√32

d)

16

55.

Find the geometric mean for 2 and 25.

a)

5

b)

2√5

c)

2

d)

5√2

56.

a)

100

b)

110

c)

120

d)

130

57.

a)

10

b)

12

c)

14

d)

16

58.

√45 in simplest radical form:

a)

3√5

b)

5√3

c)

9√5

d)

5√9

59.

√125 in simplest radical form:

a)

5√5

b)

25√5

c)

5√25

d)

5√2

60.

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

a)

60

b)

100

c)

80

d)

20

61.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

62.

Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75

a)

Yes

b)

No

63.

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

a)

Yes

b)

No

64.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

65.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

66.

If a triangle has a side a=5 and b=12, what is c?

a)

10

b)

17

c)

169

d)

13

67.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

68.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

69.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

70.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

71.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

d)

Not a Triangle

72.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

73.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?

2, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

74.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

75.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

76.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

77.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

78.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

79.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

80.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

81.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

82.

Choose the correct ratio.

a)

cos(33^o)=x/14

b)

sin(33^o)=x/14

c)

cos(33^o)=14/x

d)

sin(33^o)=14/x

83.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

84.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

85.

sin 20⁰ = ?

a)

cos 70⁰

b)

sin 70⁰

c)

cos 20⁰

d)

tan 20⁰

86.

The hypotenuse of a 30-60-90 triangle is 6√3. What is the measure of the shorter leg?

a)

6

b)

6√3

c)

3√3

d)

6√6

87.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

88.

What is x in this 30-60-90 triangle?

a)

x = 6

b)

x = 3√2

c)

x = 3√3

d)

x = 3√3

89.

Find a.

a)

12

b)

24

c)

24√3

d)

16

90.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

91.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

92.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

93.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

94.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

95.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

96.

What is sin^-1(1/2)?

a)

150

b)

120

c)

60

d)

30

97.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

98.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

99.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

100.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

c)

210°

d)

105°

101.

Solve for x.

a)

5

b)

20

c)

40

d)

85

102.

The distance from the center of a circle to the boundary of a circle (half of the diameter).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

103.

A segment/chord that runs through the center of the circle (the longest chord).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

104.

This is a picture of ___________.

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

105.

An angle whose vertex (corner) is at the center of the circle.

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

106.

A piece of the circumference is called...

a)

radius

b)

diameter

c)

arc

d)

tangent

107.

a)

Inscribed Angle

b)

Central Angle

108.

The radius is ___________ the length of the diameter.

a)

twice

b)

half

c)

three times

d)

equal to

109.

A tangent line of a circle is...

a)

It's diameter

b)

It's radius

c)

It's circumference

d)

A line that touches the circle only once

110.

How many degrees are in a semicircle?

a)

90

b)

180

c)

270

d)

360

111.

A segment whose endpoints lie on a circle is a _______.

a)

tangent

b)

chord

c)

diameter

d)

secant

112.

What can this formula be used to find?

a)

area of a circle

b)

arc length of an arc

c)

sector area

d)

circumference of a circle

113.

What can this formula be used to find?

a)

area of a circle

b)

arc length of an arc

c)

sector area

d)

circumference of a circle

114.

What is this called?

a)

Tangent Line

b)

Central Angle

c)

Chord

d)

Inscribed Angle

115.

what is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

116.

Find the circumference of a circle with a radius of 12.5 mm .

a)

37.68mm

b)

18.84mm

c)

78.5mm

d)

none of the above

117.

Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?

a)

28 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

118.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

119.

Find the area of sector.

a)

$14\pi\ cm^2$

b)

$147\pi\ cm^2$

c)

$147\ cm^2$

d)

$73.5\pi\ cm^2$

120.

Find the area of sector with radius

$10\ cm$ and angle $45\degree$

a)

$78.15\ cm^2$

b)

$25.06\ cm^2$

c)

$39.27\ cm^2$

d)

$57.53\ cm^2$

121.

Find the area of sector with diameter

$28\ ft$ and angle $30\degree$

a)

$40.38\ cm^2$

b)

$51.31\ cm^2$

c)

$17.43\ cm^2$

d)

$67.83\ cm^2$

122.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

123.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

124.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

125.

The distance along an arc measured in linear units.

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

126.

If a quadrilateral is inscribed in a circle, then its ____angles are _____.

a)

adjacent; complimentary

b)

opposite; complimentary

c)

adjacent; supplementary

d)

opposite; supplementary

127.

A region bounded by two radii of the circle and their intercepted arc is a ....

a)

arc of a circle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

128.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

129.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

130.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

a)

0.3 square units

b)

15.7 square units

c)

19.7 square units

d)

50.3 square units

131.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

132.

A region bounded by two radii of the circle and their intercepted arc is a ....

a)

arc of a circle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

133.

The distance along an arc measured in linear units.

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

134.

Which angles are congruent?

a)

<ACB = <ADB

b)

<ADB=<AEB

c)

<AEB=<ACB

d)

<ACB = <ADB = <AEB

135.

If a quadrilateral is inscribed in a circle, then its ____angles are _____.

a)

adjacent; complimentary

b)

opposite; complimentary

c)

adjacent; supplementary

d)

opposite; supplementary

136.

Find the measure of arc MN.

a)

138

b)

133

c)

194

d)

125

137.

What is the measure of arc DC?

a)

140

b)

98

c)

122

d)

61

138.

What is x?

a)

15

b)

23

c)

2

d)

92

139.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

140.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

141.

Find the measure of angle H.

a)

40

b)

37

c)

23

d)

26

142.

Solve for x

a)

5

b)

90

c)

25

d)

10

143.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

Final Exam Study Guide

Total questions: 143

Worksheet time: 8hrs 45mins

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