Free Printable 2nd 9 wks EXAM review 2021

1.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

2.

Find the other endpoint of the line segment with the given endpoint (-8,-6) and midpoint (0,8)

a)

(-7,4)

b)

(0,3)

c)

(-4,-7)

d)

(8,22)

3.

Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8)

a)

(3,-4)

b)

(-8,16)

c)

(2,3)

d)

(5,9)

4.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

5.

a)

12

b)

62

c)

35

d)

9

6.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

7.

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.

8.

RS is the segment bisector. If OQ = 32 and PO = 4x, what does x equal?

a)

8

b)

28

c)

128

d)

36

9.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

10.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

11.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + BC = AC

12.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

13.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

14.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x -- 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

15.

Not drawn to scale.

a)

m∠GHK=90, m∠KHJ=45

b)

m∠GHK=45, m∠KHJ=45

c)

m∠GHK=45, m∠KHJ=90

d)

m∠GHK=90, m∠KHJ=90

16.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

17.

Find the supplementary angle for 69 degrees...

a)

111 degrees

b)

116 degrees

c)

118 degrees

18.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

19.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

20.

What is the value of "x"?

a)

10

b)

11

c)

12

d)

13

21.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

22.

Solve for x

a)

5

b)

90

c)

25

d)

10

23.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

24.

4. Find X

a)

1

b)

30

c)

53

d)

10

25.

3. Find X

a)

59

b)

31

c)

177

26.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

27.

What is a ray?

a)

A straight line that goes on forever in both directions

b)

The part of a line with two endpoints that do not go on forever

c)

A part of a line that starts with an endpoint and goes on forever in the opposite direction

28.

What is a line segment?

a)

A set of points that goes on forever in both directions

b)

A curved line that goes on in one direction forever

c)

A part of a line between two endpoints

29.

Linear pairs.....

a)

add up to 180 degrees (and are adjacent)

b)

are equal to each other

c)

are opposite of each other

30.

What is the value of y?

a)

29

b)

119

c)

58

31.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

32.

What is the Angle Relationship

a)

Complementary Angles

b)

Supplementary Angles

c)

Corresponding

33.

What is the Angle Relationship?

a)

Adjacent

b)

Corresponding

c)

Vertical

34.

Which is a pair of corresponding angles?

a)

∠4 and ∠3

b)

∠4 and ∠1

c)

∠4 and ∠2

d)

∠4 and ∠8

35.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

36.

Which pair of angles add up to 180 degrees?

a)

A and W

b)

C and X

c)

D and X

d)

A and G

37.

Angle P and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

38.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

39.

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

a)

43

b)

37

c)

143

d)

37

40.

If $m\angle10=53\degree$ find $m\angle4$ and give proper reasoning.

a)

$127\degree$ because alternate exterior angles.

b)

$127\degree$ because alternate interior angles.

c)

$53\degree$ because consecutive interior angles.

d)

$53\degree$ because alternate exterior angles.

41.

Solve for x and give proper reasoning.

a)

x=8 because if two $\parallel$ lines are cut by a transversal then alternate interior angles are $\cong$ .

b)

x=9 because if two $\parallel$ lines are cut by a transversal then consecutive interior angles are $\cong$ .

c)

x=4 because if two $\parallel$ lines are cut by a transversal then corresponding angles are $\cong$ .

d)

x=9 because if two $\parallel$ lines are cut by a transversal then alternate exterior angles are $\cong$ .

42.

Solve for X, Y, and Z.

a)

X=30

Y=15

Z=30

b)

X=45

Y=45

Z=135

c)

X=45

Y=15

Z=150

d)

X=30

Y=15

Z=150

43.

Find X and Y.

a)

X=14

Y=37

b)

X=42

Y=138

c)

X=2

Y=174

d)

X=14

Y=138

44.

Angle 3 & 7 have what relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Supplementary

e)

Vertical

45.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

46.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

47.

If a line has a slope of 4/7 a line that is perpendicular has a slope of what?

a)

-7/4

b)

7/4

c)

4/7

d)

-4/7

48.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

49.

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

a)

Parallel

b)

Perpendicular

c)

Neither

50.

Are these lines parallel, perpendicular, or just intersecting (but not perpendicular)?

$y=6x+2$ $y=-6x-2$

a)

Parallel

b)

Perpendicular

c)

Intersecting (but not perpendicular)

51.

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

a)

y = (-3/5)x + 2

b)

y = (-3/5)x -2

c)

y = (3/5)x + 2

d)

y = (5/3) + 2

52.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

53.

Write the equation of a line PARALLEL to 3x - y = 2 that passes through the point (1, 5).

a)

y = 3x - 14

b)

y = 3x + 2

c)

$y=\frac{1}{3}x+6$

d)

$y=\frac{1}{3}x-4$

54.

What direction is an undefined slope?

a)

horizontal

b)

vertical

55.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

56.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

57.

$-6x+y=2$ and $6x+y=2$

a)

Parallel

b)

Perpendicular

c)

Neither

58.

Write an equation that is parallel to -4x + 2y = 10 and passes through the point (2, -1)

a)

y = 2x + 5

b)

y = 5/2 + 5x

c)

y = 2x - 5

d)

y = -2x + 3

59.

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

a)

45°

b)

90°

c)

180°

d)

360°

60.

Solve for x.

a)

16

b)

11

c)

50

d)

6

61.

Solve for x.

a)

-12

b)

-8

c)

-10

d)

-5

62.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

63.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

64.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

65.

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

a)

Yes

b)

No

66.

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

a)

Yes

b)

No

c)

I don't know.

67.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

68.

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.

69.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

70.

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

71.

In the diagram below, what must be the
measure of the angle marked x?

a)

27°

b)

29°

c)

31°

d)

34°

72.

Order the sides of the triangle from shortest to longest.

a)

UV, UT, VT

b)

UV, VT, UT

c)

VT, UT, UV

d)

VT, UV, UT

73.

Which inequality relates to m∠1 and m∠2?

a)

m∠1 > m∠2

b)

m∠1 = m∠2

c)

m∠1 < m∠2

d)

m∠1 ≤ m∠2

74.

Which inequality relates to segment FG and segment FH?

a)

FH > FG

b)

FG > FH

c)

$FH\ \ge FG$

d)

$FG\cong FH$

75.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

76.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

77.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

78.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

79.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

80.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

81.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

ASA

c)

SAS

d)

SSS

82.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

83.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Not enough information

d)

Yes - SAS

84.

What is the symbol for congruent?

a)

$=$

b)

$\perp$

c)

$\angle$

d)

$\cong$

85.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

86.

Use the Third Angles Theorem to find the value of x.

a)

x = 60

b)

x = 55

c)

x = 15

d)

x = 65

87.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

88.

What additional information is needed to show these triangles are congruent by AAS?

a)

<L ≅ < T

b)

<K ≅ <U

c)

MK ≅ SU

d)

<L ≅ <U

89.

What additional information is needed to say these triangles are congruent by SSS?

a)

RS≅DQ

b)

<R ≅ <D

c)

QS ≅ RS

d)

QD ≅ RQ

90.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

91.

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

92.

Which pair of triangles can be proven congruent by the ASA Postulate?

a)

b)

c)

d)

93.

Solve for x.

a)

30

b)

180

c)

10

d)

50

94.

solve for X

a)

19

b)

20

c)

33

d)

53

95.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

96.

The diagonals of a parallelogram always ...

a)

are congruent

b)

are perpendicular

c)

bisect each other

d)

are parallel

97.

a)

x = 40 , y = 40

b)

x = 30, y = 30

c)

x = 40, y = 30

d)

x = 30, y = 40

98.

The figure is a parallelogram.
Solve for x.

a)

12

b)

4

c)

6

d)

2

99.

The figure is a parallelogram.
Solve for x.
Give a reason.

a)

2

b)

10

c)

11

d)

12

100.

In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x.

a)

15

b)

20

c)

30

d)

130

101.

In the diagram of parallelogram STUV, SV = x + 3, VU = 2x - 1, and TU = 4x - 3. What is the length of SV?

a)

5

b)

2

c)

7

d)

4

102.

Solve for x. Each figure is a parallelogram.

a)

6

b)

12

c)

4

d)

10

103.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

104.

What is the name of a 7 sided polygon?

a)

hexagon

b)

heptagon

c)

octagon

d)

nonagon

105.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

106.

Find the measure of angle K.

a)

9

b)

97°

c)

48°

d)

79°

107.

How many sides does a dodecagon have?

a)

10

b)

11

c)

12

d)

13

108.

What do you call an eight sided polygon?

a)

Octapus

b)

Octagon

c)

Hexagon

d)

Heptagon

109.

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

a)

1440°

b)

900°

c)

1080°

d)

1260°

110.

Find the interior angle on a regular polygon with 5 sides...

a)

72^o

b)

108^o

c)

60^o

d)

120^o

111.

Find the exterior angle on a regular polygon with 6 sides...

a)

72^o

b)

108^o

c)

60^o

d)

120^o

112.

Find the exterior angle on a regular polygon with 5 sides...

a)

72^o

b)

108^o

c)

60^o

d)

120^o

113.

Find the exterior angle on a regular polygon with 10 sides...

a)

36^o

b)

144^o

c)

30^o

d)

150^o

114.

Find the exterior angle on a regular polygon with 12 sides...

a)

36^o

b)

144^o

c)

30^o

d)

150^o

115.

Find the number of sides on a regular polygon with an exterior angle of 20^o...

a)

18

b)

20

c)

15

d)

24

116.

What is the formula for the sum of exterior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

117.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

118.

Solve for x

a)

94

b)

25

c)

36

d)

180

119.

Solve for x

a)

80

b)

110

c)

17

d)

60

120.

Solve for x in the rectangle.

a)

25

b)

20

c)

30

d)

25/3

121.

Given rectangle ABCD, where the diagonals intersect at point E, AC = 4x + 10 and BD = 5x - 20, find AE.

a)

30

b)

21

c)

65

d)

130

122.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

123.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

124.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

125.

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

a)

180°

b)

540°

c)

720°

d)

1080°

126.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

127.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

128.

Which property, definition, postulate, or theorem justifies the following statement?
If $3x-17=26$ , then $3x=33$ .

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Transitive Property of Equality

d)

Subtraction Property of Equality

129.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

130.

What is always the Reason for the 1st statement in a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

131.

Which property states if x = y, then x + 5 = y + 5?

a)

Addition P of E

b)

Subtraction P of E

c)

Reflexive P of E

d)

Transitive P of E

132.

Which property states if 3x = 15, then x = 5?

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

133.

Which property states if 2x - 5 = 10, then 2x = 15.

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Substitution

134.

Which property states if 3x+2 = 14 and x = 4, then 3(4)+2 = 14?

a)

Multiplication Property of Equality

b)

Subtraction Property of Equality

c)

Transitive Property of Equality

d)

Substitution Property of Equality

135.

Name the first property you will use to solve this equation:
3(x – 7) = 42

a)

Multiplication Property of Equality

b)

Commutative property

c)

Associative Property

d)

Distributive Property

136.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

137.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

138.

Which of the following group of quadrilaterals have congruent diagonals?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

a)

All of the above

b)

II, III and IV

c)

II and IV, only

d)

III and IV, only

139.

Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

a)

All of the above

b)

II, III and IV

c)

II and IV, only

d)

III and IV, only

140.

If m∠CBE is 54° what is the m∠CDB?

a)

54°

b)

27°

c)

108°

d)

90°

141.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

5

c)

30

d)

10

142.

Find the measure of angle 4

a)

90

b)

22

c)

136

d)

44

143.

Given Hexagons

ABCDEF\ \cong PQRSTU

\angle S\cong\ ?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

d)

$\angle D$

e)

$\angle E$

144.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{CA}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FD}$

145.

What is the included angle between sides AC and BC?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

146.

$\Delta PET\cong\Delta DOG$

Which of the following are TRUE

a)

$\angle P\cong\angle D$

b)

$\overline{TE}\cong\overline{GO}$

c)

$\angle T\cong\angle O$

d)

$\overline{TP}\cong\overline{GD}$

e)

$\overline{TE}\cong\overline{OG}$

147.

True or False: Angle A is included between sides BC and CA

a)

True

b)

False

c)

Side AB

d)

Angle C

148.

Which two sides include angle B (choose both)

a)

Side AC

b)

Side AB

c)

Side BC

149.

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

a)

$4\sqrt{37}$

b)

$5\sqrt{4}$

c)

10

d)

$4\sqrt{5}$

150.

Find the length between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

151.

The length between (3, 8) and (-2, -4) is ______?

a)

√17

b)

13

c)

17

d)

169

152.

Simplify √28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

153.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

2nd 9 wks EXAM review 2021

Total questions: 153

Worksheet time: 6hrs 5mins

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