Free Printable Final Exam Review

1.

a)

a

b)

b

c)

c

d)

d

2.

Name the line that contains point M.

a)

Line q

b)

Line p

c)

Line r

d)

Line NH

3.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

4.

Name 3 coplaner points.

a)

Z, R & W

b)

V, Z & X

c)

V, W & X

d)

W, Y & Z

5.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

6.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

7.

a)

plane FBC

b)

plane BAD

c)

plane FEC

d)

plane FKG

8.

Name two lines

a)

AB, CD

b)

AS, DE

c)

BC, DE

d)

C, D

9.

Name 3 coplaner points.

a)

ZRW

b)

VZX

c)

VWX

d)

WYZ

10.

Which choice is another name for line MP?

a)

$\overrightarrow{NT}$

b)

line N

c)

line s

d)

$\overline{MN}$

11.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

12.

a)

8

b)

12

c)

-4

d)

-8

13.

What is the distance between the two points?

a)

√40

b)

6.5

c)

6

d)

16

14.

Find the midpoint of the line.

a)

(2,1)

b)

(1,2)

c)

(-2,1)

d)

(1,-2)

15.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

16.

D is the midpoint of EF.
ED = 4x + 6
DF = 7x -9
Find EF.

a)

5

b)

26

c)

52

d)

22

17.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

18.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

19.

Where does line p and plane R intersect?

a)

line m

b)

point C

c)

plane Q

d)

point M

20.

Now that you know the value of x, find AB and AC.

a)

AB = 78 and AC = 60

b)

AB = 60 and AC = 78

c)

AB = 66 and AC = 78

d)

AB = 72 and AC = 78

21.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

22.

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

23.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

24.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

25.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

26.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

27.

Are the triangles similar?

a)

Yes

b)

No

28.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

29.

Determine if the triangles are similar. Justify.

a)

Yes, SAS.

b)

Yes, AA.

c)

Yes, SSS.

d)

No, not similar.

30.

Solve for x.

a)

21

b)

14

c)

12

d)

18

31.

Solve for x.

a)

8

b)

6

c)

10

d)

12

32.

Solve for x.

a)

10

b)

18

c)

20

d)

12

33.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

34.

Find the scale factor.

a)

4:1

b)

1:3

c)

2:1

d)

7:3

35.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

36.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

37.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

38.

Are these triangles similar? If so, by what similarity theorem and what is the similarity statement?

a)

Yes, AA~, ΔXYZ~ΔNEW

b)

Yes, AAA~, ΔXZY~ΔNWE

c)

No, these aren't similar.

d)

Yes, AA~, ΔYZX~ΔNWE

39.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

16 feet

b)

21 feet

c)

24 feet

d)

28 feet

40.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

41.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

42.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

43.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

44.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

45.

Find the value of X

a)

20

b)

30

c)

21

d)

19

46.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

47.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

48.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

49.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

50.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

51.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

52.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

53.

Which equation is parallel to:
y = 5/7x +2

a)

y = -7/5x +1

b)

y = 7/5x +4

c)

y = -5/7x -3

d)

y = 5/7x +5

54.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

55.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

56.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

57.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

58.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

59.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

60.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

61.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

62.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

63.

$\Delta ABC\ \sim\ \Delta FDE$ , what angle is congruent to angle E?

a)

Angle A

b)

Angle B

c)

Angle C

d)

Angle F

64.

$\Delta ABC\ \sim\Delta FDE$ , what two fractions are equivalent to sin(A)? Choose 2

a)

$\frac{8}{15}$

b)

$\frac{8}{17}$

c)

$\frac{17}{34}$

d)

$\frac{30}{34}$

e)

$\frac{16}{34}$

65.

Find the ratio for sin A. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

66.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

67.

A triangle has side lengths:

20, 21, 28. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?

a)

right

b)

acute

c)

obtuse

68.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

69.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

70.

Which of the following angles are remote interior angles to angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

71.

Find the value of x.

a)

36

b)

12

c)

16

d)

25

72.

Which two angles are corresponding?

a)

4 and 8

b)

4 and 6

c)

1 and 2

d)

2 and 8

73.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

74.

Solve for x & list how you found it

a)

32... Same Side Interior = 180

b)

32... Alternate Interiors = 180

c)

32... Corresponding angles are congruent

d)

-20... Alternate Interiors are equal

e)

-20... Same Side Interiors are =

75.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

76.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

77.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

78.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

79.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

80.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

81.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

82.

Find the measure of angle x.

a)

138

b)

96

c)

93

d)

87

83.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

84.

If AB || CD, which pair of angles are same side supplementary angles?

a)

$\angle4\cong\angle5$

b)

$\angle3\cong\angle7$

c)

$\angle3\cong\angle5$

d)

$\angle1\cong\angle7$

85.

Find the missing value.

Round to the nearest tenths.

a)

52.1^o

b)

37.9^o

c)

52.1 cm

d)

50.6 cm

86.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

87.

Find the missing value.

Round to the nearest tenths.

a)

23.6 miles

b)

4.6 miles

c)

.9 miles

d)

20.7 miles

88.

Find the missing value.

Round to the nearest tenths.

a)

50.6^o

b)

29.4^o

c)

34.8^o

d)

50.1^o

89.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

90.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

91.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

92.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

93.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

94.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

95.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

96.

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

a)

8√2

b)

4√2

c)

4

d)

8

97.

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

a)

134.4

b)

67.2

c)

95√2

d)

(95√2)/2

98.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

99.

Find the value of y.

a)

7

b)

7√3

c)

14√3

d)

(14√3)/3

100.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

101.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

102.

Find n.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

103.

Find the length of m.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

104.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

10√3

105.

What is the value of y?

a)

3√2

b)

4√3

c)

6

d)

1

106.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

107.

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

a)

32√3

b)

16√3

c)

32

d)

16√2

108.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.

a)

30

b)

15

c)

5

d)

7.5

109.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______

a)

6

b)

9

c)

1.5

d)

3

110.

2. What is the point of concurrency for the median of a triangle?

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

111.

Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.

a)

Incenter

b)

Circumcenter

c)

Orthocenter

d)

Centroid

112.

In ΔXYZ, YB, XC, and ZA are medians.

If YC= 10, then ZC = _______

a)

15

b)

5

c)

20

d)

10

113.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______

a)

2.7

b)

12

c)

5

d)

4

114.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

115.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

116.

1. PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

117.

Find the measure of angle CAD.

a)

b)

c)

d)

118.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

119.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

120.

Angle ABC measures 34^o. What is the measure of angle CBD?

a)

17^o

b)

34^o

c)

68^o

121.

The measure of angle ABD is 74^o. What is the measure of angle CBD?

a)

148^o

b)

74^o

c)

37^o

122.

a)

m∠SQP=120,
m∠PQR=60

b)

m∠SQP=120,
m∠PQR=120

c)

m∠SQP=60,
m∠PQR=60

d)

m∠SQP=60,
m∠PQR=120

123.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

124.

Find LK

a)

3

b)

5

c)

-3

d)

6

125.

Find PQ

a)

10

b)

3

c)

-2

d)

5

126.

If < ABC= 103⁰, find m< ABD

a)

45

b)

13

c)

57

d)

46

127.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

128.

Find the length of RT

a)

9

b)

4.5

c)

18

d)

36

129.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

130.

Find the value of x if AB is the midsegment

a)

6

b)

12

c)

23

d)

8

131.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

132.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

133.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

134.

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

a)

9

b)

12

c)

8

d)

5

135.

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

136.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

137.

Identify the longest side measure.

a)

AC

b)

BA

c)

BC

138.

List the angles in order by measure, smallest to largest.

a)

∠B, ∠A, ∠C

b)

∠A∠,B, ∠C

c)

∠A, ∠C, ∠B

139.

Identify the smallest angle.

a)

∠K

b)

∠L

c)

∠M

140.

Identify the largest angle.

a)

∠N

b)

∠Q

c)

∠P

141.

Identify the longest side measure.

a)

LM

b)

MQ

c)

LQ

142.

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

143.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

144.

Which side lengths would NOT form a triangle?

a)

{3,4,5}

b)

{2,5,9}

c)

{5,10,12}

d)

{7,9,11}

145.

side lengths of 4,4,4 form a triangle

a)

True

b)

False

Final Exam Review - Geometry

Total questions: 145

Worksheet time: 9hrs 14mins

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