Free Printable Geometry Semester Exam Review

1.

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

a)

20

b)

22

c)

24

d)

25

2.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

3.

If a // b and c // d in the figure below, then what is the value of x?

a)

47

b)

57

c)

133

d)

143

4.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

5.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

6.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

7.

Angles x and y are....

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

8.

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or same-side interior.

a)

A

b)

B

c)

C

d)

D

9.

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or same-side interior.

a)

A

b)

B

c)

C

d)

D

10.

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or same-side interior.

a)

A

b)

B

c)

C

d)

D

11.

Angles 4 and 1 are what angle pair?

a)

Complementary

b)

Linear Pair

c)

Acute

d)

Vertical

12.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

13.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

14.

Name the vertical angle to
∠h.

a)

∠f

b)

∠i

c)

∠g

d)

∠j

15.

Angles 4 and 2 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

16.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

17.

Angles 4 and 1 are what angle pair?

a)

Complementary

b)

Linear Pair

c)

Acute

d)

Vertical

18.

What type of angles are they?

a)

VERTICAL

b)

ALTERNATE INTERIOR

c)

ALTERNATE EXTERIOR

d)

CORRESPONDING

19.

WHAT TYPE OF ANGLES ARE THEY?

a)

ALTERNATE INTERIOR

b)

SAME SIDE

c)

CONSECUTIVE

d)

CORRESPONDING

20.

WHAT TYPE OF ANGLES ARE THEY

a)

ALTERNATIVE

b)

CONSERVATIVE

c)

CONSECUTIVE (SAME SIDE)

d)

CORRESPONDING

21.

WHAT TYPE OF ANGLES ARE THESE?

a)

CONSERVATIVE

b)

ALTERNATE INTERIOR

c)

ALTERNATE EXTERIOR

d)

SAME SIDE

22.

WHAT TYPE OF ANGLES ARE THESE?

a)

CONSECUTIVE

b)

CORRESPONDING

c)

CORRECTIVE

d)

SAME SIDE

23.

How many pairs of vertical angles are shown in the figure?

a)

2

b)

4

c)

6

d)

8

24.

which of the following pairs of angles have the same measure?

a)

angle 1 and angle 7

b)

angle 2 and angle 3

c)

angle 3 and angle 6

d)

angle 4 and angle 5

25.

Which of the following terms describes the relationship between angle 3 and angle 7

a)

alternate exterior angles

b)

alternate interior angles

c)

corresponding angles

d)

vertical angles

26.

Which of the following pairs of the angles are supplementary angles?

a)

angle 1 and angle 7

b)

angle 2 and angle 6

c)

angle 3 and angle 7

d)

angle 4 and angle 5

27.

How do you find the missing angle?

a)

124 + 77

b)

2(77)

c)

180 - 77

d)

124 - 77

28.

What do the interior angles in a triangle have a sum of?

a)

180

b)

90

c)

360

d)

270

29.

Which of the following is NOT true about the angle measures?

a)

1 + 2 + 3 = 180

b)

4 + 5 + 6 = 360

c)

1 + 3 = 4

d)

1 + 2 = 6

30.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

31.

Find the value of x.

a)

-8

b)

83

c)

95

d)

14

32.

Find the value of x.

a)

134

b)

67

c)

46

d)

78

33.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

34.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

35.

Solve for x.

a)

16

b)

11

c)

50

d)

6

36.

In the equation y=mx+b,
what does m represent?

a)

Nothing in particular

b)

The y-intercept

c)

The x-intercept

d)

Slope

37.

Name the slope

a)

3

b)

1

c)

-1x

d)

-1

38.

In the equation y=mx+b,
what does b represent?

a)

Slope

b)

x-intercept

c)

y-intercept

d)

Nothing significant

39.

In the equation y=mx+b,
what does m represent?

a)

Nothing in particular

b)

The y-intercept

c)

The x-intercept

d)

Slope

40.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

41.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

42.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

43.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

a)

$y=\frac{1}{3}x-3$

b)

$y=-\frac{1}{3}x-9$

c)

$y=\frac{1}{3}x-1$

d)

$y=-3x-9$

44.

Write an equation that is PARALLEL to the line y = x - 5 through (1, -2)

a)

$y=-3x+1$

b)

$y=x-3$

c)

$y=x+1$

d)

$y=3x+1$

45.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

46.

State if the two triangles are congruent. If they are, state how you know.

a)

SSS

b)

HL

c)

ASA

d)

Not congruent

e)

AAS

47.

State if the two triangles are congruent. If they are, state how you know.

a)

ASA

b)

SAS

c)

HL

d)

None

e)

AAS

48.

State if the two triangles are congruent. If they are, state how you know.

a)

ASA

b)

SSS

c)

ASA

d)

Not enough information

e)

HL

49.

State if the two triangles are congruent. If they are, state how you know.

a)

SSS

b)

SAS

c)

HL

d)

AAA

e)

Not enough information

50.

State if the two triangles are congruent. If they are, state how you know.

a)

SSS

b)

SAS

c)

HL

d)

Not enough information

e)

ASA

51.

State if the two triangles are congruent. If they are, state how you know.

a)

ASA

b)

SSS

c)

HL

d)

SAS

e)

Not enough information

52.

Label the following congruent sides and Angles, and select all that apply,

a)

b)

c)

d)

e)

53.

Solve for x ( hint try drawing a picture of a triangle)

a)

x=10

b)

x=20

c)

x=-20

d)

x=50

54.

Solve for x (hint draw a picture of triangle)

a)

x=-10

b)

x=12

c)

x=10

d)

x=5

55.

$Solve\ for\ x\ to\ find\ the\ m\angle CBE=$

a)

$m\angle CBE=30^{\degree}$

b)

$m\angle CBE=90^{\degree}$

c)

$m\angle CBE=95^{\degree}$

d)

$m\angle CBE=180^{\degree}$

e)

Impossible to find

56.

Which angles are alternate interior Angles?

a)

$\angle TKO\ and\ \angle ROK$

b)

$\angle ROT\ and\ \angle OKT$

c)

$\angle NOT\ and\ \angle KTO$

d)

$\angle ROK\ and\ \angle NOT$

57.

a)

$\angle a=41^{\degree}\ and\ \angle b=112^{\degree}$

b)

$\angle a=112^{\degree}\ and\ \angle b=41^{\degree}$

c)

$\angle a=27^{\degree}\ \angle b=141^{\degree}$

d)

$\angle a=180^{\degree}\ and\ \angle b=0^{\degree}$

58.

Find the value of x?

a)

101

b)

47

c)

32

d)

3.4

59.

Find the value of x?

a)

61

b)

52

c)

77

d)

67

60.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

61.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

62.

a)

A

b)

B

c)

C

d)

D

63.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

64.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

65.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

66.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

67.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle B?

a)

∠E

b)

∠D

c)

∠C

68.

If LMNO ≅ WZYX, Which angle is congruent to ∠WZY?

a)

∠LMN

b)

∠MNO

c)

∠MOL

69.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

70.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

71.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

72.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

73.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

74.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

75.

Are the triangles congruent?

a)

Yes, by AAS

b)

Yes, by AA

c)

Yes, by ASA

d)

Yes, by SAS

e)

Not enough information

76.

Are the triangles congruent?

a)

Yes, by SSA

b)

Yes, by HL

c)

Yes, by SSS

d)

Yes, by SAS

e)

Not enough information

77.

Are the triangles congruent?

a)

Yes, by AAS

b)

Yes, by ASA

c)

Yes, by AA

d)

Yes, by SAS

e)

Not enough information

78.

a)

SAS

b)

ASA

c)

None

d)

SSS

79.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

4

b)

5

c)

3

d)

38

80.

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

a)

MN = PR

b)

∠M ≅ ∠P

c)

NO = QR

d)

∠N ≅ ∠Q

81.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

82.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

83.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

84.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

85.

A one-dimensional figure with infinite length in both directions

a)

Ray

b)

Line

c)

Segment

d)

Point

86.

Two rays, lines, or segments that form a right angle.

a)

Perpendicular Lines

b)

Parallel Lines

c)

90 degrees

d)

Coplanar

87.

Two or more lines that do not intersect.

a)

Perpendicular Lines

b)

Skew Lines

c)

Opposite Lines

d)

Noncollinear

88.

What tick mark means lines are parallel?

a)

Dash

b)

Arc

c)

Arrow

d)

||

89.

What tick mark means angles are congruent?

a)

Dash

b)

Arc

c)

Arrow

d)

||

90.

What tick mark means segments are congruent?

a)

Dash

b)

Arc

c)

Arrow

d)

||

91.

Which statement is correct?

a)

Rigid transformations have the same size but different shape.

b)

Rigid transformations have the same shape but different size.

c)

Rigid transformations have different size and shape.

d)

Rigid transformations have the same size and shape.

92.

Which of the following is NOT a rigid transformation.

a)

Rotation of 90 Clockwise

b)

Reflection across y=x

c)

Dilation of -2

d)

Translation of (2, -5)

93.

Write a rule to describe the transformation.

a)

Reflection of y=x

b)

Translation of (2,4)

c)

Rotation of 180 degrees

d)

Dilation of -2

94.

Write a rule to describe the transformation.

a)

Reflection across the x-axis

b)

Rotation of 90 Counterclockwise

c)

Translation of (0, 4)

d)

Translation of (0, -4)

95.

Write a rule to describe the transformation.

a)

Reflection across the y-axis

b)

Rotation of 180 degrees

c)

Dilation of -1

d)

Translation of (-4, 0)

96.

True or False:
A dilation of -1 is a rigid transformation.

a)

True

b)

False

97.

Classify Angle 1

a)

Obtuse

b)

Acute

c)

Right

d)

Straight

98.

What is the supplement of a 50˚ angle?

a)

40

b)

50

c)

130

d)

180

99.

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find x.

a)

-1

b)

5

c)

3

d)

6

100.

Which points are collinear?

a)

R, K and L

b)

G,K and R

c)

L,K and H

d)

R,K and H

101.

Line XY intersects Plane S at Z.

a)

True

b)

False

102.

What is another name for plane S ?

a)

Plane ABJ

b)

Plane CBT

c)

Plane ABT

d)

Plane Z

103.

A is the midpoint of B and C, AB= 4x + 10 and AC= 5x – 10. Which equation could be used to solve for x?

a)

4x+10+5x-10=180

b)

4x+10+5x-10=9x

c)

4x+10=5x-10

d)

2(4x+10)=5x-10

104.

What is the intersection of SVZ and UVZ?

a)

TU

b)

XV

c)

WZ

d)

VZ

105.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

106.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

107.

Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)

a)

(-6, 14)

b)

(-4, -12)

c)

(13, -1)

d)

(5, 13)

108.

What angle pair is pictured?

a)

Alternate interior angles

b)

Supplementary angles

c)

Vertical angles

d)

Corresponding angles

109.

How would you describe points F, L, I?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

110.

Find HG.

a)

8

b)

9

c)

10

d)

11

111.

GH = 7y + 3, HI = 3y - 5, GI = 9y +7 and y = 9. Find GH.

a)

66

b)

63

c)

48

d)

27

112.

CB and CD are opposite rays, CE bisects ∠DCF, and CG bisects ∠FCB.
m∠FCG= 4x+20; m∠GCB= 5x+16; find m∠GCB

a)

4

b)

36

c)

72

d)

-4

113.

a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

114.

Is DE parallel to BC?

a)

Yes

b)

No

115.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

116.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

117.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

118.

What is the length of AB?

a)

4

b)

8

c)

16

d)

24

119.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

120.

What is the length of the Midsegment?

a)

6

b)

9

c)

12

d)

18

121.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

122.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

123.

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centroid

124.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

125.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

126.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

127.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

128.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

129.

Find HG

a)

28

b)

14

c)

41

d)

7

130.

Find HG

a)

28

b)

14

c)

41

d)

7

131.

Find PQ

a)

10

b)

3

c)

-2

d)

5

132.

GT is a Median: find FE

a)

16

b)

32

c)

11

d)

26

133.

Which of the following describes a median of a triangle?

a)

A. A middle of the triangle.

b)

B. A segment with endpoints at the vertex and midpoint of the opposite side.

c)

C. A segment that connects two midpoints of two sides.

d)

D. A segment that connects the vertex and the opposite side at 90 degrees.

134.

The altitude is __________to the side of a triangle.

a)

parallel

b)

skew

c)

off

d)

perpendicular

135.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

136.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

137.

HK is an altitude in ΔGHI.
What is the measure of ∠HKG?

a)

60°

b)

180°

c)

90°

d)

360°

138.

Proof involving indirect reasoning. Also called proof by contradiction

a)

Direct reasoning

b)

Indirect reasoning

c)

Direct proof

d)

Indirect Proof

139.

The first step of an indirect proof is to ____?

a)

write the given

b)

assume the negation of the given

c)

assume the negation of what you are trying to prove

d)

contradict the given

140.

The second step of an indirect proof is to ____?

a)

assume the negation of the given

b)

assume the negation of what you are trying to prove

c)

conclude the prove is true

d)

contradict the given using logical statements based on the initial assumption

141.

What assumption would you make to start the indirect proof of ∆ABC≅∆DEF?

a)

∆ABC≠∆DEF

b)

∆ABC≇∆DEF

c)

<ABC≠<DEF

d)

AB≅DE

142.

What assumption would you make to start the indirect proof of AB≅BC?

a)

AB≠BC

b)

BA≅CB

c)

B is the midpoint of AC

d)

B is the perpendicular bisector oa AC

143.

What assumption would you make to start the indirect proof of:
there can be only one 90 angle in a triangle

a)

there can be more than one 90 angle in a triangle

b)

<a+<b+<c=180

c)

<a+<b+<c≠180

d)

all the angles in a triangle add up to 180.

144.

Which statement is a contradiction of the statement XY≅RT?

a)

XY<RT

b)

TR≅YX

c)

XY≈RT

d)

XY≤RT

145.

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

a)

Yes

b)

No

c)

I don't know.

146.

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

a)

Yes

b)

No

147.

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

a)

Yes

b)

No

148.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

149.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

150.

The longest side of a triangle would be located where on a triangle?

a)

Across from the smallest angle

b)

Across from the largest angle

c)

Cannot tell.

d)

Adjacent to the smallest side.

151.

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

152.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

153.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

Geometry Semester Exam Review

Total questions: 153

Worksheet time: 4hrs 7mins

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