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Worksheets

GEOMETRY-H Quarter 1 Make - up Work

Total questions: 146

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

What has two dimensions?

a)

Line

b)

Point

c)

Plane

2.

What has no width, no length and no height?

a)

Line

b)

Point

c)

Plane

3.

What is often drawn has a four-sided figure?

a)

Line

b)

Point

c)

Plane

4.

What has infinite length, but no width, no height?

a)

Line

b)

Point

c)

Plane

5.

A ______ indicates a location or position.

a)

Line

b)

Point

c)

Plane

6.

A ______ has one dimension.

a)

Line

b)

Point

c)

Plane

7.

A ______ has infinite length, infinite width, no height.

a)

Line

b)

Point

c)

Plane

8.

LM\overrightarrow{LM}  

a)

point LM

b)

line LM

c)

line segment LM

d)

ray LM

9.

LM\overline{LM}  

a)

point LM

b)

line LM

c)

line segment LM

d)

ray LM

10.

Name the points on the plane

a)

Points J, K, L

b)

Points D, G, I

c)

Points G, H, K

d)

Points D, F, H

11.
a)

Ray

b)

Segment

c)

Line

d)

Point

12.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

13.

Suppose AC =  48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

14.

Find the length indicated.

(a)  

15.
Find measurement for QT.
a)
10
b)
6
c)
-10
d)
2
16.

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

a)

OP = MP + (MN + NO)

b)

OP = MP + MN + NO

c)

OP = MP - (MN + NO)

d)

OP = MP - MN + NO

17.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

18.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

19.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

20.
a)

Segment

b)

Arrow

c)

Line

d)

Ray

21.
Find measurement for QS.
a)
7
b)
4
c)
3
d)
1
22.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

23.
a)

Ray

b)

Plane

c)

Line

d)

Segment

24.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

25.

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

a)

4

b)

5

c)

6

d)

7

26.

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

a)
b)
c)
d)
27.

The middle of a line is called the _______________.

a)

endpoint

b)

midpoint

c)

slope

d)

distance

28.

What formula would I use to find the x-coordinate of the midpoint between (3,9) and (5,9)

a)

3+52\frac{3+5}{2}  

b)

3+92\frac{3+9}{2}  

c)

5+92\frac{5+9}{2}  

d)

9+92\frac{9+9}{2}  

29.

What formula would I use to find the y-coordinate of the midpoint between (3,9) and (5,9)

a)

3+52\frac{3+5}{2}  

b)

3+92\frac{3+9}{2}  

c)

5+92\frac{5+9}{2}  

d)

9+92\frac{9+9}{2}  

30.

What is the x-coordinate of the midpoint between (-4,4) and (-2,2)?

a)

3

b)

-3

c)

4

d)

6

31.

What is the y-coordinate of the midpoint between (-4,4) and (-2,2)?

a)

3

b)

-3

c)

4

d)

6

32.

Find the x-coordinate of the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

8

b)

-4

c)

0

d)

-2

33.

Find the y-coordinate of the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

-8

b)

-16

c)

-20

d)

8

34.

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)

35.

Find the midpoint: (2,7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

36.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

37.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

38.

Which angle is a linear pair with 1\angle1  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

6\angle6  

39.

Which angles are non-adjacent with 8\angle8  ?
 (mark all that apply)

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

1\angle1  

40.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

41.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

42.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
43.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
44.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

45.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

46.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

47.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

48.
Which names a pair of adjacent angles?
a)
∠CXD and ∠FXE
b)
∠CXF and ∠DXE
c)
∠CXD and ∠DXE
49.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
50.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
51.

Which angle is a linear pair with 5\angle5  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

9\angle9  

e)

6\angle6  

52.

If m∠ABC = 103° find x.

(a)  

53.

Given mQST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

54.

S is in the interior of ∠TRQ.

If m∠TRS = (4x)°, m∠SRQ = (7x)°, and m∠TRQ = 88°. Find x.

(a)  

55.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
56.

A straight angle is ...

a)

An angle that is exactly equal to 90 degrees

b)

An angle that is greater than 90 degrees but less than 180 degrees

c)

An angle that is less than 90 degrees

d)

An angle that is exactly equal to 180 degrees

57.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

58.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

59.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

60.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

61.

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°

62.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
63.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
64.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
65.
Name a pair of angles that are vertical.
a)
Angles 4 and 5
b)
Angles 7 and 9
c)
Angles 8 and 9
d)
Angles 5 and 7
66.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

67.
What is the relationship of the angle pair?
a)
Complementary
b)
Supplementary
c)
Vertical
68.
Angles 4 and 1 are what angle pair?
a)
Complementary
b)
Linear Pair
c)
Acute
d)
Vertical
69.
Name a pair of complementary angles.
a)
<LCP & <LCT
b)
<LR & <TP
c)
<LCN & <NCP
d)
<LCN & <NCR
70.
Name a pair of Supplementary Angles
a)
<TP & <LR
b)
<TCP & <PCT
c)
<TCR & <PCL
d)
<NCT & <NCP
71.
Name the vertical angle to
∠h.
a)

f

b)

i

c)

g

d)

j

72.

What angle is adjacent and supplementary to angle 5?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

73.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
74.
Identify the angle pair.
a)
Complementary angles
b)
Congruent angles
c)
Linear Pair
d)
Vertical Angles
75.
Identify the angle pair.
a)
complementary angles
b)
linear pair
c)
supplementary 
d)
vertical angles
76.
Identify the angle pair.
a)
adjacent angles
b)
complementary angles
c)
linear pair
d)
vertical angles
77.
Identify the angle pair
a)
adjacent angles
b)
complementary angles
c)
consecutive angles
d)
supplementary angles
78.

Find m2m\angle2  

(a)  

79.

Find m 3m\angle\ 3   

(a)  

80.

Find m 5m\angle\ 5   

(a)  

81.

Find m 6m\angle\ 6   

(a)  

82.

Find m 4m\angle\ 4   

(a)  

83.

Find m 7m\angle\ 7   

(a)  

84.

Find m 8m\angle\ 8   

(a)  

85.

Find m 8m\angle\ 8   

(a)  

86.

Find m 1m\angle\ 1   

(a)  

87.

Find m 11m\angle\ 11   

(a)  

88.

Angles that lie on opposites sides of the transversal and outside of the parallel lines.

a)

Alt. Int. Angles

b)

Vertical Angles

c)

Alt. Ext. Angles

d)

Same-Side Int. Angles

89.

If m∠6 = 59, what is m∠3?

a)

118

b)

121

c)

59

d)

180

90.

If m∠2 = 60, what is m∠4?

a)

180

b)

120

c)

60

d)

30

91.

If m∠1 = 121, what is m∠8?

a)

180

b)

242

c)

59

d)

121

92.

Angles that lie on the same side of the transversal and in corresponding positions are called...

a)

Linear Pair

b)

Alt. Int. Angles

c)

Corresponding Angles

d)

Alt. Ext. Angles

93.

Angles between two parallel lines and on the same side of a transversal.

a)

Same Side Int. Angles

b)

Same Side Ext. Angles

c)

Vertical Angles

d)

Corresponding Angles

94.

Parallel lines are lines that do not ___.

a)

Intersect

b)

Exist

c)

121

d)

Corresponding Angles

95.

|| means ___.

a)

Parallel

b)

Perpendicular

c)

3, 6, 7

d)

180°

96.

What type of angle pair are 5 and 6?

a)

Alt. Int. Angles

b)

Alt. Ext. Angles

c)

Same Side Int. Angles

d)

Linear Pair

97.

What type of angle pair are 1 and 8?

a)

Alt. Int. Angles

b)

Alt. Ext. Angles

c)

Same Side Ext. Angles

d)

Linear Pair

98.

What type of angle pair are 6 and 7?

a)

Alt. Int. Angles

b)

Alt. Ext. Angles

c)

Linear Pair

d)

Vertical Angles

99.

What type of angle pair are 4 and 6?

a)

Alt. Int. Angles

b)

Same Side Int. Angles

c)

Same Side Ext. Angles

d)

Linear Pair

100.

What are the sums of the same side exterior angles?

a)

180°

b)

360°

c)

90°

d)

120°

101.

A line that crosses at least two other lines and is used to determine if two lines are parallel.

a)

Transversal

b)

Determinant

c)

Ray

d)

Segment

102.

The sum of the angles is 180 degrees. The angles will form a straight line when they vertex is shared.

a)

Vertical Angles

b)

Complementary

c)

Supplementary

d)

Congruent

103.

The sum of the angles is 90 degrees. They will form a right angle when there is a common vertex.

a)

Vertical Angles

b)

Complementary

c)

Supplementary

d)

Congruent

104.

Two lines that are beside each other but will never touch, similar to railroad tracks.

a)

Parallel Lines

b)

Perpendicular Lines

c)

Skew Lines

d)

Overlapping Lines

105.

Two lines that make a 90° angle when they cross. Look like the letter "T"

a)

Parallel Lines

b)

Perpendicular Lines

c)

Skew Lines

d)

Overlapping Lines

106.

The symbol ┴ means...

a)

Parallel

b)

Perpendicular

c)

Congruent

d)

Nothing

107.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
108.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
109.
What is the measure of <C?
a)
5º
b)
25º
c)
100º
d)
125º
110.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
111.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
112.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
113.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

114.
All corresponding angles in congruent figures are congruent.  
a)
True
b)
False
115.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
116.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

117.

Which side of ΔDWY\Delta DWY  corresponds with side AC in ΔABC\Delta ABC  ?

a)

Side WY

b)

Side DW

c)

Side DW

118.

D  ?\angle D\ \cong\ ?  

a)

X\angle X  

b)

W\angle W  

c)

Y\angle Y  

d)

C\angle C  

119.

What is the value of angle c? (Do not worry about the degrees symbol - just type the number)

(a)  

120.

State whether the two figures are congruent.

a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
121.

Remember order matters. Which of the following is true?

a)

∆FGH \equiv   ∆VHW

b)

∆HFG \equiv   ∆HWV

c)

∆HGF \equiv   ∆VHW

d)

∆FGH \equiv   ∆VWH

122.
What does x equal?
a)
9
b)
11
c)
17
123.

CB = ?\overline{CB}\ =\ ?  

a)

I\angle I  

b)

GI\overline{GI}  

c)

IB\overline{IB}  

d)

BG\overline{BG}  

124.

If ▵ABC ⩭ ▵RQP, what is

the value of x?

a)

3

b)

2

c)

6

d)

13

125.
What is the length of US?
a)
22
b)
17
c)
31
126.
Which of these is a valid congruency statement for these 2 triangles?
a)
 LK ≅ TS
b)
KS ≅ MU
c)
∠T ≅ ∠K
d)
∠M ≅ ∠L 
127.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
128.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
129.
What is the measure of <C?
a)
5º
b)
25º
c)
100º
d)
125º
130.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
131.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
132.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
133.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

134.
All corresponding angles in congruent figures are congruent.  
a)
True
b)
False
135.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
136.

Which two triangles are congruent?

a)

A and B

b)

A and C

c)

A and D

d)

B and C

e)

B and D

137.

Which side of ΔDWY\Delta DWY  corresponds with side AC in ΔABC\Delta ABC  ?

a)

Side WY

b)

Side DW

c)

Side DW

138.

D  ?\angle D\ \cong\ ?  

a)

X\angle X  

b)

W\angle W  

c)

Y\angle Y  

d)

C\angle C  

139.

Remember order matters. Which of the following is true?

a)

∆FGH \equiv   ∆VHW

b)

∆HFG \equiv   ∆HWV

c)

∆HGF \equiv   ∆VHW

d)

∆FGH \equiv   ∆VWH

140.
What does x equal?
a)
9
b)
11
c)
17
141.

Which of the following statements is NOT true if 

ABCD  \cong   RSTU?

a)

CD  TU\overline{CD}\ \cong\ \overline{TU}

b)

AB  RS\overline{AB}\ \cong\ \overline{RS}

c)

T  C\angle T\ \cong\ \angle C

d)

A  U\angle A\ \cong\ \angle U

142.
What is the value of y?
a)
3
b)
8
c)
15
d)
12
143.
What is the value of x?
a)
7
b)
11
c)
12
d)
23
144.
What is the value of z?
a)
7
b)
11
c)
12
d)
23
145.
What are the values of x and y?
a)
7, 23
b)
6, 10
c)
5, 14
d)
9, 14
146.
What are the values of x and y?
a)
7, 23
b)
6, 10
c)
5, 14
d)
9, 14