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8.1 Worksheet

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Last updated over 3 years ago
63 questions
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Question 1
1.

A quadrilateral with two pairs of parallel sides is a ______________________

Question 2
2.

The opposite sides of a parallelogram are ______________________

Question 3
3.

The opposite angles of a parallelogram are ______________________

Question 4
4.

The consecutive angles of a parallelogram are ______________________

Question 5
5.

The diagonals of a parallelogram _______________ each other.

Use the parallelogram MATH for questions 6-9.
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For #10-21, determine whether each statement is true or false about parallelogram ABCD below.
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Use parallelogram ABCD below for questions 22-40.
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Use parallelogram ABCD below for questions 41-49.
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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.

Opposite sides are parallel.

Question 51
51.

Two pairs of consecutive sides are congruent.

Question 52
52.

Diagonals are congruent.

Question 53
53.

All four sides are congruent.

Question 54
54.

Opposite sides are congruent.

Question 55
55.

Two pairs of consecutive angles are congruent.

Question 56
56.

Diagonals bisect each other.

Question 57
57.

Consecutive angles are supplementary.

For questions 58-63, determine if each quadrilateral is a parallelogram.
Question 58
58.

Question 59
59.

Question 60
60.

Question 61
61.

Question 62
62.

Question 63
63.

Question 6
6.

Which of the following angle pairs are congruent? Check all that apply.

Question 7
7.

Which of the following angle pairs are supplementary? Check all that apply.

Question 8
8.

Which of the following sides are congruent? Check all that apply.

Question 9
9.

Which of the following sides are parallel? Check all that apply.

Question 10
10.

\overline{AB}\cong\overline{DC}

Question 11
11.

\angle{ADC}\cong\angle{DCB}

Question 12
12.

\overline{DB}\cong\overline{AC}

Question 13
13.

\angle{DCB}\cong\angle{DAB}

Question 14
14.

\overline{AD}\parallel\overline{BC}

Question 15
15.

m\angle{ADC} + m\angle{DCB} = 180o

Question 16
16.

\overline{DC}\cong\overline{BC}

Question 17
17.

\angle{DAB} + m\angle{DCB} = 180o

Question 18
18.

\angle{1}\cong\angle{2}

Question 19
19.

m\angle{1} + m\angle{2} = 180o

Question 20
20.

\angle{1}\cong\angle{3}

Question 21
21.

m\angle{1} + m\angle{4} = 180o

Question 22
22.

What is the length of CD?

Question 23
23.

What is the length of DA?

Question 24
24.

What is the length of AC?

Question 25
25.

What is the length of DB?

Question 26
26.

What is the length of CE?

Question 27
27.

What is the length of DE?

Question 28
28.

What is m\angle{ABC}?

Question 29
29.

What is m\angle{BCE}?

Question 30
30.

What is m\angle{BCD}?

Question 31
31.

What is m\angle{ADC}?

Question 32
32.

What is m\angle{BAD}?

Question 33
33.

What is m\angle{CDE}?

Question 34
34.

What is m\angle{EDA}?

Question 35
35.

What is m\angle{DAE}?

Question 36
36.

What is m\angle{EAB}?

Question 37
37.

What is m\angle{AEB}?

Question 38
38.

What is m\angle{BEC}?

Question 39
39.

What is m\angle{CED}?

Question 40
40.

What is m\angle{DEA}?

Question 41
41.

If AB = 12 and AE = 6, then DC = ______, and EC = _______. Write your answer as #, #

Question 42
42.

If AE = 9 and AD = 3, then AC = ______, and BC = _______. Write your answer as #, #

Question 43
43.

If BD = 14 and AB = 10, then BE = ______, and DC = _______. Write your answer as #, #

Question 44
44.

If m\angle{ADC} = 42o, then m\angle{ABC} = ______, and m\angle{DAB} = _______. Write your answer as #, #

Question 45
45.

If AB = 2x + 1 and DC = 4x - 19, then find the value of x.

Question 46
46.

If BE = 6x + 1 and DE = 4x + 31, then find the value of x.

Question 47
47.

If AE = x + 1 and AC = 5x - 10, then find the value of x.

Question 48
48.

If AD = 7x - 9 and BC = 4x + 33, then find the value of x.

Question 49
49.

If AB = x + 3, BC = x - 4, and the perimter of ABCD is 6x - 20, then find the value of x.