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Dec.19 Pythagorean Theorem

Total questions: 75

Worksheet time: 4hrs 8mins

Name
Class
Date
1.

Find the measure of the missing angle.

a)

24°24\degree

b)

62°62\degree

c)

66°66\degree

d)

156°156\degree

2.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
3.
What does X equal?
a)
X=51
b)
X=45
c)
X=39
4.

What is the value of x?

a)

x = 234

b)

x = 54

c)

x = 126

d)

x = 36

5.
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
6.

Find the value of x.

a)
118
b)
108
c)
28
d)
58
7.
Find x
a)
74
b)
148
c)
37
d)
90
8.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
9.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
10.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
11.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
12.

Inside a triangle, how many total degrees are there?

a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
13.

Angle 2 is 50*. What is the measure of angle 1?

a)

50*

b)

130*

c)

40*

14.

What is a transversal?

a)

A line that intersects two or more parallel lines

b)

The angles opposite of each other when two lines cross

c)

Two angles whose sum measures 180 degrees

d)

Lines that intersect to form a 90 degree angle

15.

10)Given the two parallel lines cute by a transversal,

What is the measure of  5\angle5  ?



(a)  

16.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
17.

1\angle1  and 2\angle2  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

18.

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  

19.

How are these angles related?

a)

Corresponding angles

b)

Alternate interior angles

c)

Alternate exterior angles

d)

Same side interior angles

20.

How are these angles related?

a)

Corresponding angles

b)

Alternate interior angles

c)

Alternate exterior angles

d)

Same side interior angles

21.

How are these angles related?

a)

Corresponding angles

b)

Alternate interior angles

c)

Alternate exterior angles

d)

Same side interior angles

22.

Find the measure of the missing angle.

(a)  

23.

Find the measure of the missing angle.

(a)  

24.

Name the relationship between ∠1 and ∠2.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical Angles

25.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot Be Determined

26.

Which of the following angles would NOT be congruent to the m 7\angle7 ?

a)

2\angle2  

b)

3\angle3  

c)

6\angle6  

d)

8\angle8  

27.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Corresponding Angles

28.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
29.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
30.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
31.
What is the measure of the unlabeled angle of the triangle?
a)
90*
b)
82*
c)
98*
d)
75*
32.

Solve for x.

a)

8

b)

9

c)

13

d)

15

33.

Solve for x.

a)

-5

b)

-2

c)

8

d)

9

34.

Solve for x.

a)

24

b)

25

c)

36

d)

48

35.

What is the measure of the angle labeled 3x283x-28  ?

(a)  

36.

What equation represents this angle relationship?

a)

12x+15=15x12x+15=15x  

b)

27x+15=18027x+15=180  

37.

What is the value of x?

(a)  

38.

What is the measure of the angles?

(a)  

39.

What is the measure of these angles?

(a)  

40.

What is the value of x?

a)

x = 8

b)

x = 9

c)

x = 20

d)

x = 0

41.

Which equation best represents the angle relationships shown?

a)

2x + 54 + 4x - 6 = 180

b)

2x + 54 = 4x - 6

42.

What is the value of x?

a)

x = 54

b)

x = 30

c)

x = 20

d)

x = 0

43.

Which equation will help you find the missing side?

a)

42+102=c24^2+10^2=c^2

b)

10242=c210^2-4^2=c^2

c)

c2=100+102c^2=100+10^2

d)

c2+42=102c^2+4^2=10^2

44.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

45.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

46.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

47.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
48.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
49.
solve for c
a)
7
b)
9
c)
4
d)
13
50.

The Pythagorean Theorem is

a2 - b2 = c2

a)

false

b)

true

51.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
52.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
53.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
54.

What is the hypotenuse of the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

55.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

56.

What is side c called?

a)

Leg

b)

Hypotenuse

c)

90° 90\degree\ angle

57.

What is side a and b called?

a)

Legs

b)

Hypotenuse

c)

90° 90\degree\ angle

58.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
59.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

60.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
61.

Is it a function?

a)

YES, it's a function

b)

NO, it's not a function

62.

Is it a function?

a)

YES, it's a function

b)

NO, it's not a function

63.

Is it a function?

a)

YES, it's a function

b)

NO, it's not a function

64.

Is it a function?

a)

YES, it's a function

b)

NO, it's not a function

65.

Which of the following is a function? Select two.

a)

b)

c)

d)

e)

66.

a)

Function

b)

Not a function

67.

a)

Function

b)

Not a function

68.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
69.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
70.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
71.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
72.
Solve
a)
5
b)
-6
c)
6
d)
21
73.

6x4=8-6x-4=8  

a)

x=10x=-10  

b)

x=14x=14  

c)

x=6x=6  

d)

x=2x=-2  

74.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

75.

What is the complement of an angle whose measurement is 84 degrees?

a)

96 degrees

b)

6 degrees

c)

86 degrees

d)

16 degrees