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Chapter7

Total questions: 85

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

Find the value of the variables.

a)

x = 50°, y = 69°

b)

x = 100°, y = 50°

c)

x = 100°, y = 69°

d)

x = 50°, y = 50°

2.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
3.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
4.
The figure is a parallelogram.  
Solve for x.  
a)
11
b)
10
c)
6
d)
2
5.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

6.

Find the value of j and k.

a)

j = 4.5, k = 2

b)

j = 4.5, k = 5

c)

j = 3, k = 10

d)

j = 5, k = 5

7.
Find the value of f.
a)
-5
b)
15
c)
5
d)
20
8.
What's the measurement of angle G?
a)
20
b)
60
c)
24
d)
120
9.

Solve for x & y.

a)

x = 25, y = 14

b)

x = 27, y = 7

c)

x = 3, y = 9

d)

x = 2, y = 7

10.
a)

FG = 6, m<G = 120

b)

FG = 16, m<G = 60

c)

FG = 8, m<G = 60

d)

FG = 7, m<G = 65

11.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 3, y = 2

b)

x = 25, y = 15

c)

x = 15, y = 25

d)

x = 113, y = 67

12.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

13.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
14.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
15.
Find the value of X
a)
94
b)
25
c)
36
d)
180
16.

What is the sum of exterior angles for a 27-gon?

a)

4860

b)

4500

c)

360

d)

270

17.

What is the formula for one exterior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

18.

The measures of one interior angle of a regular polygon is 140o. What is the name of the polygon?

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Hexagon

19.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

20.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

21.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

22.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

23.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

24.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

25.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

26.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

27.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

28.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

29.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

30.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

31.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

32.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

33.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
34.

Solve for a and b.

a)

a=7, b=4

b)

a=14, b=4

c)

a=7, b=8

d)

a=7, b=5

35.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 3, y = 2

b)

x = 25, y = 15

c)

x = 15, y = 25

d)

x = 113, y = 67

36.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

37.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = 26

b)

x = 7

c)

x = 2

d)

x = -2

38.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
39.
How long is the side CD?
a)
7
b)
3
c)
35
d)
27
40.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
41.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

The diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

42.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

43.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

44.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

45.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 3, y = 2

b)

x = 25, y = 15

c)

x = 15, y = 25

d)

x = 113, y = 67

46.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

47.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = -4

b)

x = 1

c)

x = 8

d)

x = 34

48.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = 26

b)

x = 7

c)

x = 2

d)

x = -2

49.
If ABCD is a parallelogram, what is the length of BD? 
a)
14
b)
12
c)
10
d)
Cannot be determined
50.
ABCD is a parallelogram.  Find the measure of angle B.
a)
39o
b)
51o
c)
129o
d)
Cannot determine
51.
Find the measure of angle 4
a)
44
b)
68
c)
90
d)
136
52.
Find the measure of angle 1
a)
22
b)
34
c)
90
d)
136
53.
Find the measure of angle 2
a)
22
b)
34
c)
45
d)
68
54.
The diagonals of a rectangle ... ___________
a)
bisect the opposite angles
b)
are congruent
c)
are perpendicular
d)
have no relationship
55.
Which set of quadrilaterals have perpendicular diagonals?
a)
parallelogram only
b)
parallelogram and rectangle
c)
rectangle and square
d)
rhombus and square
56.
Which statement is true?
a)
A rectangle is a square.
b)
A square is a rhombus.
c)
A parallelogram is a rectangle.
57.
Which quadrilateral does not have diagonals that bisect the opposite angles?
a)
Rectangle
b)
Rhombus
c)
Square
d)
They all have diagonals that bisect the opposite angles
58.
ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 
a)
90
b)
64
c)
58
d)
32
59.
If m∠B is 54° what is m∠BCE?
a)
27°
b)
54°
c)
63°
d)
108°
60.
What is the most specific name for this quadrilateral?
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Square
61.
What is the most specific name for this quadrilateral?
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Square
62.
What is the most specific name for this quadrilateral?
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Square
63.
What is the most specific name for this quadrilateral?
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Square
64.
Which of the following statements is true?
a)
∠D = ∠B
b)
AC = DA
c)
the diagonals are perpendicular
d)
∠C + ∠B = 180
65.
What is the measure of ∠R?
a)
65 degrees
b)
115 degrees
c)
180 degrees
d)
None of the above
66.
What is the measure of ∠P?
a)
65 degrees
b)
115 degrees
c)
180 degrees
d)
None of the above
67.
What is the measure of ∠A?
a)
15 degrees
b)
115 degrees
c)
180 degrees
d)
None of the above
68.

Which of the following statements are true?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

AD and DC are congruent

69.
Find the measure of the midsegment XY:
a)
21
b)
9
c)
12
d)
10.5
70.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
71.
What is x?
a)
35
b)
45
c)
55
d)
90
72.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
73.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
74.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
75.

Find the value of x.

a)

35

b)

3

c)

33

d)

4

76.
Find the value of x.
a)
18.5
b)
8
c)
11
d)
None of the above.
77.
Find the value of x.
a)
7
b)
8
c)
85
d)
None of these
78.
Find the measure of n:
a)
117
b)
63
c)
25
d)
39
79.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
80.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
81.

Find the value of x.

a)

65

b)

110

c)

75

d)

None of these.

82.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
83.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
84.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
85.

Find the value of x if EC=20 and FD= 5x-10

a)

6

b)

2

c)

4

d)

15