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Angle Addition

Total questions: 41

Worksheet time: 2hrs 11mins

Name
Class
Date
1.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

2.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
3.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
4.
Which type of angle is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
5.
Classify this angle.
a)
Right
b)
Straight
c)
Obtuse
d)
Acute
6.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

7.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
8.
What is another name for ∠H
a)
∠KGH
b)
∠LGH
c)
∠LHG
d)
∠K
9.
 Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
10.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
11.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
12.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
13.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
14.

What is the measure of the missing angle?

a)

40

b)

50

c)

140

d)

130

15.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
16.

Which of the following represents the Distance Formula?

a)

a2 + b2 = c2a^2\ +\ b^2\ =\ c^2

b)

d = (x2  x1)2 + (y2  y1)2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }-\ y_1\right)^2}

17.

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?


(3, 4) , (7, 1)

a)

d = (4  3)2 + (7  1)2d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}

b)

d = (7  3)2 + (1  4)2d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}

c)

d = (7  4)2 + (1  3)2d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}

d)

d = (3  7)2 + (4  1)2d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}

e)

d = (3 + 7)2  (4 + 1)2d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}

18.

Find the distance between the points (5, 7) and (-2, -2).

a)

5.7

b)

5.8

c)

8.6

d)

11.4

19.

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

a)
b)
c)
d)
20.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
21.

Find the MIDPOINT of the line.

a)

( 2, 1 )

b)

( 1, 2 )

c)

( - 2, 1 )

d)

( 1, - 2 )

22.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
23.

Which one is represented by two arrows and extends without end in two directions?

a)

Point

b)

Line

c)

Line Segment

d)

Ray

24.

Which word extends without end in two dimensions (always flat)?

a)

Points

b)

Lines

c)

Planes

d)

Rays

25.

Which one has an endpoint and goes in one direction?

a)

Point

b)

Line

c)

Plane

d)

Ray

26.

Which one means points on the same line?

a)

Line

b)

Collinear

c)

Coplanar

d)

Intersection

27.

Which one means points and lines on the same plane?

a)

Collinear

b)

Coplanar

c)

Line

d)

Plane

28.

Name the geometric term

a)

Point

b)

Line

c)

Ray

d)

Plane

29.
What does this represent?
a)
intersects
b)
perpendicular
c)
parallel
d)
left turn
30.
What type of line does the picture represent?
a)
Parallel
b)
Intersecting
c)
Perpendicular 
31.

Perpendicular lines make a _____ angle.

a)

Corresponding

b)

Vertical

c)

Right

d)

Adjacent

32.
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.
33.
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.
34.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
35.
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.
36.

Which equation would be correct for this figure?

a)

x+5=2x+10x+5=2x+10

b)


2(x+5)=332\cdot\left(x+5\right)=33

c)

x+5+2x+10 =33x+5+2x+10\ =33

d)

x+5+2x+10 = 180x+5+2x+10\ =\ 180

37.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + AC = BC

c)

CA + CB = AB

d)

BC + AC = CA

38.

Which equation would allow you to solve this problem?

a)

11x7+3x+9=14x+211x-7+3x+9=14x+2

b)

11x7=3x+911x-7=3x+9

c)

2(3x+9)=11x72\left(3x+9\right)=11x-7

d)

11x7+3x+9=18011x-7+3x+9=180

39.

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

40.

Which equation will help you find x?

a)

2x = 90

b)

2x + 3x - 10 = 90

c)

2x + 3x - 10 = 180

d)

2x + 90 = 3x - 10

41.

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

a)

8 + x + 3 = -17 + 2x

b)

x + 3 + -17 + 2x = 8

c)

8 + -17 + 2x = x + 3