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8.1 Worksheet
By Amber Nicholson
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Last updated almost 4 years ago
63 questions
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Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Use the parallelogram MATH for questions 6-9.
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For questions 50-57, determine whether you are given enough information to determine that the quadrilateral described is a parallelogram.
Question 50
50.
Question 51
51.
Question 52
52.
Question 53
53.
Question 54
54.
Question 55
55.
Question 56
56.
Question 57
57.
For questions 58-63, determine if each quadrilateral is a parallelogram.
Question 58
58.
visibility
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Question 59
59.
visibility
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Question 60
60.
visibility
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Question 61
61.
visibility
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Question 62
62.
visibility
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Question 63
63.
visibility
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A quadrilateral with two pairs of parallel sides is a ______________________
Parallelogram
Congruent
Supplementary
Bisect
The opposite sides of a parallelogram are ______________________
Parallelogram
Congruent
Supplementary
Bisect
The opposite angles of a parallelogram are ______________________
Parallelogram
Congruent
Supplementary
Bisect
The consecutive angles of a parallelogram are ______________________
Parallelogram
Congruent
Supplementary
Bisect
The diagonals of a parallelogram _______________ each other.
Parallelogram
Congruent
Supplementary
Bisect
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
For #10-21, determine whether each statement is true or false about parallelogram ABCD below.
Question 10
10.
visibility
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Question 11
11.
visibility
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Question 12
12.
visibility
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Question 13
13.
visibility
View drawing
Question 14
14.
visibility
View drawing
Question 15
15.
visibility
View drawing
Question 16
16.
visibility
View drawing
Question 17
17.
visibility
View drawing
Question 18
18.
visibility
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Question 19
19.
visibility
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Question 20
20.
visibility
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Question 21
21.
visibility
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Use parallelogram ABCD below for questions 22-40.
Question 22
22.
What is the length of CD?
visibility
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Question 23
23.
What is the length of DA?
visibility
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Question 24
24.
What is the length of AC?
visibility
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Question 25
25.
What is the length of DB?
visibility
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Question 26
26.
What is the length of CE?
visibility
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Question 27
27.
What is the length of DE?
visibility
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Question 28
28.
What is m\angle{ABC}?
visibility
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Question 29
29.
What is m\angle{BCE}?
visibility
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Question 30
30.
What is m\angle{BCD}?
visibility
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Question 31
31.
What is m\angle{ADC}?
visibility
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Question 32
32.
What is m\angle{BAD}?
visibility
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Question 33
33.
What is m\angle{CDE}?
visibility
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Question 34
34.
What is m\angle{EDA}?
visibility
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Question 35
35.
What is m\angle{DAE}?
visibility
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Question 36
36.
What is m\angle{EAB}?
visibility
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Question 37
37.
What is m\angle{AEB}?
visibility
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Question 38
38.
What is m\angle{BEC}?
visibility
View drawing
Question 39
39.
What is m\angle{CED}?
visibility
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Question 40
40.
What is m\angle{DEA}?
visibility
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Use parallelogram ABCD below for questions 41-49.
Question 41
41.
If AB = 12 and AE = 6, then DC = ______, and EC = _______. Write your answer as #, #
visibility
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Question 42
42.
If AE = 9 and AD = 3, then AC = ______, and BC = _______. Write your answer as #, #
visibility
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Question 43
43.
If BD = 14 and AB = 10, then BE = ______, and DC = _______. Write your answer as #, #
visibility
View drawing
Question 44
44.
If m\angle{ADC} = 42
o
, then m\angle{ABC} = ______, and m\angle{DAB} = _______. Write your answer as #, #
visibility
View drawing
Question 45
45.
If AB = 2x + 1 and DC = 4x - 19, then find the value of x.
visibility
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Question 46
46.
If BE = 6x + 1 and DE = 4x + 31, then find the value of x.
visibility
View drawing
Question 47
47.
If AE = x + 1 and AC = 5x - 10, then find the value of x.
visibility
View drawing
Question 48
48.
If AD = 7x - 9 and BC = 4x + 33, then find the value of x.
visibility
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Question 49
49.
If AB = x + 3, BC = x - 4, and the perimter of ABCD is 6x - 20, then find the value of x.
visibility
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Opposite sides are parallel.
Yes
No
Two pairs of consecutive sides are congruent.
Yes
No
Diagonals are congruent.
Yes
No
All four sides are congruent.
Yes
No
Opposite sides are congruent.
Yes
No
Two pairs of consecutive angles are congruent.
Yes
No
Diagonals bisect each other.
Yes
No
Consecutive angles are supplementary.
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Which of the following angle pairs are congruent? Check all that apply.
M and A
M and T
M and H
A and H
Which of the following angle pairs are supplementary? Check all that apply.
M and A
M and T
M and H
A and H
Which of the following sides are congruent? Check all that apply.
MA and AT
MA and HT
MH and AT
HT and AT
Which of the following sides are parallel? Check all that apply.
MA and AT
MA and HT
MH and AT
HT and AT
\overline{AB}\cong\overline{DC}
True
False
\angle{ADC}\cong\angle{DCB}
True
False
\overline{DB}\cong\overline{AC}
True
False
\angle{DCB}\cong\angle{DAB}
True
False
\overline{AD}\parallel\overline{BC}
True
False
m\angle{ADC} + m\angle{DCB} = 180
o
True
False
\overline{DC}\cong\overline{BC}
True
False
\angle{DAB} + m\angle{DCB} = 180
o
True
False
\angle{1}\cong\angle{2}
True
False
m\angle{1} + m\angle{2} = 180
o
True
False
\angle{1}\cong\angle{3}
True
False
m\angle{1} + m\angle{4} = 180
o
True
False