Free Printable Geometry 2020 Fall Semester Review

1.

Point F is on line segment EG. Given EG = 26 and EF =5, determine the length of line segment FG.

a)

9

b)

11

c)

21

d)

26

2.

Point F is on line segment EG. Given FG = 10, EF = 2x-1, and EG =3x-15, determine the numerical length of line segment EF

a)

10

b)

14

c)

24

d)

47

3.

Which angle number represents

\angle

ONC

a)

13

b)

14

c)

15

4.

Which angle number represents

\angle CEH

a)

4

b)

5

c)

6

5.

When two angles add up to 180°, they are ...

a)

complementary

b)

supplementary

c)

vertical

d)

congruent

6.

$\angle A$ and $\angle B$ are complementary angles. If $m\angle A=\left(3x+52\right)\degree$ and $m\angle B=\left(5x-2\right)\degree$ , then find the measure of $\angle A$

a)

5

b)

15

c)

55

d)

67

7.

Which angle is an alternate interior angle to angle 3?

a)

2

b)

4

c)

5

d)

6

8.

Which angle is a same side interior angle to angle 3?

a)

2

b)

4

c)

5

d)

6

9.

Given $m\parallel n$ , find the value of x

a)

106°

b)

74°

c)

76°

d)

104°

10.

Given $m\parallel n$ , find the value of x

a)

12

b)

22

c)

32

d)

43

11.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

12.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

13.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

14.

If the scale factor is less than one, the new figure will be:

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

15.

If the scale factor is greater than one, the new figure will be:

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

16.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

17.

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

18.

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

19.

The measure of angle 1 is the same as the measure of how many other labeled angles in the figure?

a)

1

b)

2

c)

3

d)

4

20.

What it the measurement for angle 1?

a)

140^o

b)

180^o

c)

40^o

d)

160^o

21.

What it the measurement for angle 9?

a)

140^o

b)

180^o

c)

40^o

d)

160^o

22.

What it the measurement for angle 12?

a)

140^o

b)

180^o

c)

40^o

d)

160^o

23.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

24.

What is the measure of angle X?

a)

60

b)

40

c)

140

d)

100

25.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

26.

Name a segment that has twice the length of segment EC

a)

segment BC

b)

segment BE

c)

segment AC

d)

segment BD

27.

How many diagonals are there on the shape?

a)

1

b)

2

c)

3

d)

4

28.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

29.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

30.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

31.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

32.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

33.

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

a)

SSS

b)

SAS

c)

HL

d)

Not Possible

34.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

35.

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.

36.

A ________ is described as a location.

a)

point

b)

line

c)

plane

d)

collinear points

37.

Given that C is between A & B, which Segment Addition statement is correct?

a)

AC + AB = CB

b)

AC + CB = AB

c)

AB + BC = AC

d)

CA + CB = CA

38.

What transformation is happening to the red triangle to get to the blue triangle?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

39.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

40.

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

41.

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

42.

Point (-5,2) is reflected over the y-axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

43.

Apply the following rule to the point $(-5,6)$ :
$(x,y)\rightarrow(y,-x)$

a)

(-5,-6)

b)

(5,-6)

c)

(6,5)

d)

(-6,5)

44.

Rewrite the statement as a conditional statement in if-then form.

STATEMENT: Fish have gills.

a)

If it has gills, then it is a fish.

b)

If it is a fish, then it has gills.

c)

If it is a fish, then it lives in the water.

d)

If an animal has gills, then it breathes underwater.

45.

Write the converse of the statement below.

STATEMENT: If the coin is a dime, then it is worth ten cents.

a)

If the coin is NOT a dime, then it is NOT worth ten cents.

b)

If the coin is NOT worth ten cents, then it is NOT a dime.

c)

If a coin is worth ten cents, then it is a dime.

46.

What is the first step to solving the equation above?

a)

Use Substitution Property

b)

Use Addition Property

c)

Use Division Property

d)

Use Distribution Property

47.

Name this property

a)

Distribution Property

b)

Transitive Property

c)

Reflexive Property

d)

Symmetric Property

48.

My mother buys milk every time she goes to Safeway. She is at Safeway now. I predict she is going to buy milk.

What type of reasoning is this?

a)

Deductive Reasoning

b)

Inductive Reasoning

49.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

50.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

51.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

"If angles are not congruent, then the measures of the angles are not equal."

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

52.

∠1 and ∠9 are classified as:

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate-Interior Angles

d)

Linear Pair

53.

If angle 1 has a measure of 135^o, then m∠2 =

a)

90^o

b)

135^o

c)

45^o

d)

65^o

54.

What two angles are vertical angles?

a)

Angle r and angle s

b)

Angle m and angle n

c)

Angle p and angle q

d)

Angle q and angle r

55.

If m∠n = 113^o, then m∠s =

a)

180^o

b)

90^o

c)

67^o

d)

113^o

56.

What two angles are alternate-interior angles?

a)

∠3 and ∠5

b)

∠3 and ∠6

c)

∠1 and ∠6

d)

∠5 and ∠8

57.

What is m∠x?

a)

76^o

b)

104^o

c)

90^o

d)

100^o

58.

What is the m∠y?

a)

76^o

b)

14^o

c)

104^o

d)

180^o

59.

Angle Q and B are...

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

60.

Angle C and P are...

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

61.

Angle C and P are...

a)

Supplementary

b)

Congruent

62.

What is the equation of the perpendicular bisector of the segment containing (9, -2) and (7, -6)?

a)

y = -2x - 12

b)

y = 2x - 20

c)

y = 1/2 x - 12

d)

y = -2x -20

63.

Which of the following is NOT a triangle congruence theorem?

a)

ASA

b)

SAS

c)

AAS

d)

AAA

64.

ORIGINAL;
If I am a teenager, then I am super awesome
What is the inverse of this statement?

a)

If I am super awesome, then I am a teenager

b)

if I am NOT a teenager, then I am NOT super awesome

65.

What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."

a)

It lives in a zoo.

b)

No counterexample, this is true.

c)

It lives in an aquarium.

d)

It is a monkey

66.

Is the inverse of the following statement true? "If an angle measures 30 degrees, then it is acute."

a)

Yes

b)

No

67.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

If angles are not congruent, then the measures of the angles are not equal.

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

68.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

69.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

70.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

71.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

72.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

73.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

74.

When the scale factor of a dilation is between 0 and one, the dilation is a reduction.

a)

True

b)

False

75.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

76.

Dilate Point B by a scale factor of 1/2 from the origin.

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

77.

Choose the correct scale factor: (Hint: The prime is the new image)

a)

2

b)

3

c)

1/3

d)

1/2

78.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

79.

Which two lines are parallel to each other:
1) y=2x + 2
2) y=2x - 3
3) y=-2x +2

a)

1 & 2

b)

2 & 3

c)

1 & 3

d)

None of them

80.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

negatives.

c)

equal.

d)

always 7.

81.

Slopes of perpendicular lines are...

a)

negative reciprocals.

b)

negatives.

c)

equal.

d)

always 7.

82.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

83.

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

a)

Parallel

b)

Perpendicular

c)

Neither

84.

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

a)

Parallel

b)

Perpendicular

c)

Neither

85.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

86.

Find the value of x if AB is the midsegment

a)

6

b)

12

c)

23

d)

8

87.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

88.

Find the measure of the indicated angle.

a)

89

b)

211

c)

119

d)

81

89.

Solve for x.

a)

A

b)

B

c)

C

d)

D

90.

Find x

a)

9

b)

2

c)

6

d)

4

91.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

92.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

93.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

94.

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

95.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

96.

What is the "statement" for step 3 of the proof?

a)

HT=TA

b)

HA=AH

c)

MA=AM

d)

MA=MH

97.

What is the "reason" for step 2 of the proof?

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given

98.

What is the "statement" for step 2 of the proof?

a)

∡JHI≅∡JKL

b)

JL=JI

c)

∡H≅∡K

d)

HI=KL

99.

Find y if RST is an isosceles triangle.

a)

8

b)

10

c)

12

d)

14

100.

Find X if abc is an equilateral triangle.

a)

2

b)

4

c)

6

d)

8

101.

Find the measure of m<2, m<3 and m<4.

a)

m<2=55
m<3=55
m<4=40

b)

m<2=60
m<3=60
m<4=45

102.

Let B be between A and C.

a)

28

b)

4

c)

16

d)

12

103.

Let B be between A and C.

a)

7

b)

24

c)

13

d)

14

104.

Solve for the value of x

a)

15

b)

30

c)

10

d)

25

105.

Solve for the value of x

a)

15

b)

30

c)

10

d)

25

106.

Name the property, definition, postulate, or theorem.

a)

def of midpoint

b)

Symmetric Prop

c)

def of congruent segments

d)

Midpoint Theorem

107.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

108.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

109.

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)

110.

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

111.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

112.

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

a)

4√2

b)

4

c)

8

d)

4√3

113.

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

114.

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

a)

8√2

b)

4√2

c)

4

d)

8

115.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

116.

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

117.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

118.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

119.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

120.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

121.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

122.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

123.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

124.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

125.

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

126.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

127.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

128.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

Geometry 2020 Fall Semester Review

Total questions: 128

Worksheet time: 9hrs 54mins

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