wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Summative 4 Review

Total questions: 140

Worksheet time: 5hrs 12mins

Name
Class
Date
1.
Two angles whose measures have the sum 90°
a)
Complementary angles
b)
Right angle
c)
Supplementary angles
d)
Perpendicular
2.

Name the relationship between <5 and <6

a)

Complementary

b)

Supplementary

c)

Vertical

d)

Neither

3.

What kind of angle is this?

a)

Adjacent Angle

b)

Vertical Angle

c)

Corresponding Angle

d)

Alternate Interiror

4.

What is the relationship between <2 & <4?

a)

They are supplementary

b)

Both angles are vertical angles

c)

Both angles are right angles

d)

<2 is greater than <4

5.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
6.

∠A and ∠B are a linear pair. m∠A = 86°, what is m∠B?

a)

4

b)

86

c)

94

d)

none

7.

Find the value of x.

a)

54

b)

20

c)

37

d)

180

8.

Find 1\angle1 ,if  2\angle2  = 38

a)

142

b)

38

c)

48

d)

152

9.

Find the m∠BOC.

a)

x = 128

b)

x = 52

c)

x = 142

d)

x = 62

10.

What is an example of a pair of supplementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

11.

Solve for x.

a)

16

b)

38

c)

14

d)

34

12.

What angle is supplementary to angles 4 and 3?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

13.

∠UPQ and ∠RPQ are ______________

a)

Vertical

b)

Complementary and Adjacent

c)

Supplementary and Adjacent

d)

Nothing

14.

∠A and ∠B are COMPLEMENTARY angles. If ∠A =( 4x-1)° and m∠B= (5x+10)° , then find the measure of ∠B.

a)

35

b)

55

c)

9

d)

90

15.

If ∠C and ∠D are supplementary, and the measure of ∠D is 42°, what is the measure of ∠C?

a)

138

b)

42

c)

128

d)

90

16.
a)

11

b)

24

c)

26

d)

78

17.
a)

60

b)

65

c)

70

d)

130

18.



(a)  

19.

Name the intersection of planes M and L.

a)

line AB

b)

D

c)

line CE

d)

A

20.

Name a ray opposite of ray DB

a)

ray DA

b)

ray BD

c)

ray DC

d)

ray DE

21.

Name a plane containing line CE.

a)

plane ABD

b)

plane CDE

c)

plane BDA

d)

plane ABE

22.

Name the intersection between plane L and line CE.

a)

C

b)

E

c)

D

d)

A

23.

E, A, and C are non-coplanar.

a)

True

b)

False

24.

D and G are collinear.

a)

True

b)

False

25.

How can line DF be written?

a)
b)
c)
d)
26.

What is the intersection of two lines?

a)

a plane

b)

a point

c)

collinear

d)

a line

27.

What is the intersections of two planes?

a)

a line

b)

a point

c)

a plane

d)

collinear

28.

Name the ray in the figure.

a)
b)
c)
d)
29.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
30.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
31.
Two angles whose measures have the sum 90°
a)
Complementary angles
b)
Right angle
c)
Supplementary angles
d)
Perpendicular
32.

Name the relationship between <5 and <6

a)

Complementary

b)

Supplementary

c)

Vertical

d)

Neither

33.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
34.

Find the value of x.

a)

54

b)

20

c)

37

d)

180

35.

Find 1\angle1 ,if  2\angle2  = 38

a)

142

b)

38

c)

48

d)

152

36.

Find the m∠BOC.

a)

x = 128

b)

x = 52

c)

x = 142

d)

x = 62

37.

What is an example of a pair of supplementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

38.

Solve for x.

a)

16

b)

38

c)

14

d)

34

39.

∠A and ∠B are COMPLEMENTARY angles. If ∠A =( 4x-1)° and m∠B= (5x+10)° , then find the measure of ∠B.

a)

35

b)

55

c)

9

d)

90

40.

If ∠C and ∠D are supplementary, and the measure of ∠D is 42°, what is the measure of ∠C?

a)

138

b)

42

c)

128

d)

90

41.

Name the intersection of planes M and L.

a)

line AB

b)

D

c)

line CE

d)

A

42.

Name a plane containing line CE.

a)

plane ABD

b)

plane CDE

c)

plane BDA

d)

plane ABE

43.

Name the intersection between plane L and line CE.

a)

C

b)

E

c)

D

d)

A

44.

E, A, and C are non-coplanar.

a)

True

b)

False

45.

D and G are collinear.

a)

True

b)

False

46.

How can line DF be written?

a)
b)
c)
d)
47.

What is the intersection of two lines?

a)

a plane

b)

a point

c)

collinear

d)

a line

48.

What is the intersections of two planes?

a)

a line

b)

a point

c)

a plane

d)

collinear

49.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
50.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
51.
Find the value of x. 
a)
x = 133
b)
x = 47
52.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
53.
Find y.
a)
50
b)
130
54.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
55.
Solve for x.
a)
8
b)
11
c)
5
d)
-5
56.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
57.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
58.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
59.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
60.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
61.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
62.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
63.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
64.
Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
65.

Choose the linear equation that is parallel to the following line

y=14x1y=-\frac{1}{4}x-1  

a)

y=14x+5y=-\frac{1}{4}x+5  

b)

y=14x1y=\frac{1}{4}x-1  

c)

y=4x1y=-4x-1  

d)

y=4x1y=4x-1  

66.

Choose the linear equation that is perpendicular to the following line

y=14x1y=-\frac{1}{4}x-1  

a)

y=14x+5y=-\frac{1}{4}x+5  

b)

y=14x1y=\frac{1}{4}x-1  

c)

y=4x1y=-4x-1  

d)

y=4x3y=4x-3  

67.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
68.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
69.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
70.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
71.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

72.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

73.
Solve for x.
a)
-11
b)
-12
c)
-6
d)
11
74.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

75.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
76.
Find the value of x. 
a)
x = 133
b)
x = 47
77.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
78.
Find y.
a)
50
b)
130
79.

If lines are parallel with a transversal, then these two angles are...

a)

Supplementary Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Parallel Angles

80.
Find the value of x.
a)
20
b)
135
c)
31
d)
145
81.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
82.
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
83.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
84.
Solve for x.
a)
8
b)
11
c)
5
d)
-5
85.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
86.

Find the value of x.

a)

7

b)

8

c)

6

d)

5

87.

Find the value of x.

a)

6

b)

7

c)

8

d)

9

88.

Find the exact measures of the given angles.

(a)  

89.

Find the exact measures of the given angles.

(a)  

90.

Solve for y.

a)

y=55y=55  

b)

y=35y=35  

c)

y=70y=70  

d)

y=45y=45  

91.

What is the value of x?

a)

15

b)

16

c)

18

d)

19

92.
Find the m∠1
a)
67
b)
113
c)
180
d)
23
93.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

94.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
95.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
96.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
97.

x =

(a)  

98.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
99.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)
33 = 7X +5
b)
-7X=33
c)
33+7X+5=180
d)
33+7X+5=90
100.
Find m ∠C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
101.

If m8=7x12m\angle8=7x-12  and m1=4x+6m\angle1=4x+6  , what is x?

(a)  

102.

If m3=3x+8m\angle3=3x+8  and m5=5x+4m\angle5=5x+4  , what is x?

(a)  

103.

If lines l and m are parallel, m2=8x2m\angle2=8x-2  , and m3=10x+20m\angle3=10x+20  , find x.

(a)  

104.

Using your answer for x from the last problem, what is m5m\angle5  ?

(a)  

105.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
106.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
107.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
108.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
109.
Find the slope of:
(12,-2) and (4, -6)
a)
-1/2
b)
5/7
c)
-2
d)
1/2
110.
Find the slope
a)
-3/4
b)
4/3
c)
3/4
d)
-4/3
111.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
112.

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

113.

What does it mean for two shapes to be similar?

a)

Their angles add up to 180o.

b)

They are congruent.

c)

Same shape, but different size.

d)

Same size and same shape.

114.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
115.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
116.

State the postulate that proves the triangles are similar.

a)
AA
b)
SAS
c)
SSS
d)
Not Similar
117.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
118.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
119.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
120.
Find side length X.
a)
30
b)
25
c)
15
d)
40
121.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
122.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
123.
a)
15
b)
13
c)
11
d)
17
124.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

125.
Find the value of x.
a)
10
b)
35
c)
8
d)
None of these
126.

Find x AND the measure of BD.

a)

X = 14

BD = 21

b)

X = 16

BD = 25

c)

X = 18

BD = 29

d)

X = 13

BD = 19

127.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
128.

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

129.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
130.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
131.

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

132.
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
133.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
134.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
135.

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

a)

G' (5,3)

b)

G' (20,12)

c)

G' (-20,-12)

d)

G' (-5,-3)

136.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
137.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
138.

Dilation changes a shape's __________?

a)

Size

b)

Position

c)

Form

d)

Orientation

139.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
140.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)