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Angles Math 7

Total questions: 93

Worksheet time: 4hrs 50mins

Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
2.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
3.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
4.
 Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
5.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
6.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
7.

Check all that apply.

a)

Trapezoid

b)

Quadrilateral

c)

Parallelogram

d)

Rhombus

8.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

9.

Check all that apply.

a)

Parallelogram

b)

Rectangle

c)

Trapezoid

d)

Rhombus

10.

Check all that apply.

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Trapezoid

11.

Check all that apply.

a)

Rhombus

b)

Trapezoid

c)

Kite

d)

Parallelogram

12.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

13.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

14.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

15.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

16.

Find the value of x.

a)

x = 90 degrees

b)

x = 81 degrees

c)

x = 124 degrees

d)

x = 65 degrees

17.

True or False: The sum of all four angles of any quadrilateral is always 360 degrees.

a)

True

b)

False

18.
Find the missing angle.
a)
65°
b)
85°
c)
75°
d)
70°
19.
Solve for x.
a)
16
b)
11
c)
50
d)
6
20.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
21.

Check all that apply.

a)

Parallelogram

b)

Rhombus

c)

Trapezoid

d)

Kite

22.

Clue: This quadrilateral has exactly one pair of parallel sides.

a)

Trapezoid

b)

Parallelogram

23.

Clue: This quadrilateral is a parallelogram with four right angles.

a)

Rectangle

b)

Rhombus

24.

Clue: This quadrilateral is a parallelogram with four congruent sides.

a)

Rhombus

b)

Kite

25.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
26.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
27.
A model of a flagpole has a scale of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
28.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
Find the missing angle. 
a)
151
b)
147
c)
118
d)
62
32.
Find the missing angle.
a)
122
b)
58
c)
115
d)
123
33.

True or False: A rectangle is a special kind of parallelogram that has four right angles and its opposite side lengths are congruent.

a)

True

b)

False

34.
A ________ is any polygon that has 4 sides.
a)
square
b)
parallelogram
c)
quadrilateral
d)
trapezoid
35.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
36.
A ________ is a polygon with 4 right angles and 4 equal sides.
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
37.
Define parallelogram
a)
a quadrilateral with exactly one pair of parallel sides 
b)
multiple quadrilaterals with 4 congruent sides
c)
a polygon with opposite sides parallel and congruent
d)
a quadrilateral with 4 right angles and opposite sides are congruent
38.
This image shows
a)
rhombi
b)
square
c)
parallelogram
d)
trapezoid
39.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
40.
Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from one chocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of the map is 1 centimeter = 2 kilometers, then what is the actual distance between the two chocolate shops?
____ = ____
a)
1/2 kilometer 
b)
1.5 kilometers
c)
6 kilometers
d)
3 kilometers
41.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
42.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
43.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
44.
Use the diagram to the right to determine the distance across  Catfish Lake. Assume the triangles are similar. 
a)
6.75 km
b)
4.1 km
c)
2 km
d)
3 km
45.
The length of a model of a couch is 8 inches, the width of the same model is 4 inches. Using the scale factor 1/6, find the length and width of my actual couch.
a)
Length: 48 inches
Width: 24 inches
b)
Length: 7 inches
Width: 10 inches
46.

An EQUILATERAL triangle has ___________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

47.

A SCALENE triangle has _____________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

48.

An ISOSCELES triangle has _____________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

49.

An ACUTE triangle has ________________.

a)

1 acute angle

b)

2 acute angles

c)

3 acute angles

d)

no acute angles

50.

An OBTUSE triangle has _____________.

a)

1 obtuse angle

b)

2 obtuse angles

c)

3 obtuse angles

d)

no obtuse angles

51.

A RIGHT triangle has ___________.

a)

1 right angle

b)

2 right angles

c)

3 right angles

d)

no right angles

52.
What is the measure of the missing angle?
a)
82
b)
43
c)
55
d)
180
53.

Which of the following is NOT an example of supplementary angles?

a)

 ∠7 and ∠8\angle7\ and\ \angle8  

b)

 ∠2 and ∠3\angle2\ and\ \angle3  

c)

 ∠1 and ∠7\angle1\ and\ \angle7  

d)

 ∠6 and ∠4\angle6\ and\ \angle4  

54.
Find the missing angle.
a)
28
b)
18
c)
38
d)
22
55.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
56.
What is the measure of the missing angle?
a)
92
b)
102
c)
82
d)
72
57.
What is the measure of the missing angle?
a)
29
b)
107
c)
119
d)
89
58.
Find the value of x. 
a)
70
b)
10
c)
3
d)
103
59.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
60.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
61.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
62.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
63.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
64.
A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
65.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
66.
Find the measure of angle A.
a)
75o
b)
60o
c)
30o
d)
38o
67.

What type of triangle is this?

a)

equiangular equilateral

b)

obtuse equilateral

c)

acute scalene

d)

equiangular isosceles

68.

What type of triangle is this?

a)

obtuse scalene

b)

equiangular equilateral

c)

acute scalene

d)

right isosceles

69.

What type of triangle?

a)

Acute Scalene

b)

Obtuse Scalene

c)

Right Isosceles

d)

Acute Isosceles

70.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

71.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

72.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
73.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
74.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
90 degrees
d)
360 degrees
75.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

76.

Check all that apply.

a)

Parallelogram

b)

Rectangle

c)

Trapezoid

d)

Rhombus

77.

Check all that apply.

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Trapezoid

78.

Check all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

79.

Check all that apply.

a)

Rhombus

b)

Trapezoid

c)

Kite

d)

Parallelogram

80.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
81.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
82.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
83.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
84.
If a shape is a square, then it is also a rectangle and a rhombus.
a)
TRUE
b)
FALSE
85.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
86.
Sometimes, Always, Never:  A rectangle is ____ a rhombus.
a)
Sometimes
b)
Always
c)
Never
87.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
88.
Find Angle 1, Angle 2, and Angle 3. 
a)
Angle 1 = 45, Angle 2 = 45, Angle 3 = 135
b)
Angle 1 = 135, Angle 2 = 55, Angle 3 = 55
c)
Angle 1 = 55, Angle 2 = 55, Angle 3 = 125
d)
Angle 1 = 40, Angle 2 = 40, Angle 3 = 135
89.
What is the correct name for the shape?
a)
Rectangle
b)
Trapezoid
c)
Kite
d)
Pentagon
90.
This figure is not a _______.
a)
trapezoid
b)
square
c)
rectangle
d)
parallelogram
91.
What is the name of this shape?
a)
Kite
b)
Rhombus
c)
Square
d)
Rectangle
92.
A rectangle has two pairs of parallel sides.
a)
Never
b)
Sometimes
c)
Always
93.
A parallelogram has four acute angles.
a)
Never
b)
Sometimes
c)
Always

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