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Parallelogram Properties

Total questions: 38

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

PQRS is a parallelogram, what is true about PQ and RS?

a)

congruent opposite sides

b)

congruent opposite angles

c)

supplementary consecutive angles

d)

parallel opposite sides

2.

PQRS is a parallelogram, what is true about <QPS and <QRS?

a)

congruent opposite sides

b)

congruent opposite angles

c)

supplementary consecutive angles

d)

parallel opposite sides

3.

Do diagonals of a parallelogram bisect each other?

a)

True

b)

False

4.

PQRS is a parallelogram, what is true about <QRS and <RSP?

a)

congruent opposite sides

b)

congruent opposite angles

c)

supplementary consecutive angles

d)

parallel opposite sides

5.

ABCD is a parallelogram, what is true about <BAC and <DCA?

a)

congruent alternate interior angles

b)

supplementary consecutive interior angles

c)

congruent because diagonals bisect each other

d)

congruent opposite angles

6.

ABCD is a parallelogram, what is true about BE and ED?

a)

congruent because diagonals bisect each other

b)

congruent alternate interior angles

c)

congruent opposite angles

d)

BE is half of ED because diagonals bisect each other

7.

ABCD is a parallelogram, what is true about AE and AC?

a)

congruent because diagonals bisect each other

b)

congruent alternate interior angles

c)

congruent opposite angles

d)

AE is half of AC because diagonals bisect each other

8.

Which quadrilateral has opposite angles congruent?

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

e)

Isosceles Trapezoid

9.

Fill in the blank with "all", "some", or "none":

______________ parallelograms are squares.

a)

all

b)

some

c)

none

10.

Solve for x.

a)

41

b)

7

c)

58

d)

22

11.

Solve for the m<E if EFGD is a parallelogram.

a)

180

b)

24

c)

120

d)

60

12.

Parallelogram ABCD has diagonals DB and AC that intersect at point E. If DE is 12 units long, what is the length of DB?

a)

24

b)

12

c)

144

d)

6

13.

Find a and b given XYZW is a parallelogram.

a)

a = 3, b = 1

b)

a = 3, b = 4

c)

a = 5, b= 2

d)

a = 5, b = 1

14.

Find x and y given ABCD is a parallelogram

a)

x = 30, y = 50

b)

x = 100, y = 70

c)

x = 45, y = 75

d)

x = 85, y = 65

15.

Find x and y given EPQH is a parallelogram

a)

x = 18, y = 9

b)

x = 15, y = 12

c)

x = 17, y = 8

d)

x = 21, y = 17

16.

Find x and y given MNOL is a parallelogram.

a)

x = 2, y = 4.5

b)

x = 1.5, y = 1

c)

x = 5, y = 7

d)

x = 3, y = 2

17.

Find m∠ STU if RSTU is a parallelogram.

a)

55

b)

125

c)

30

d)

25

18.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
19.
The figure is a rhombus.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
20.

If m∠CBE is 54° what is the m∠CDB?

a)

54°

b)

27°

c)

108°

d)

36°

21.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
22.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
23.
Find the measure of angle 2
a)
54
b)
108
c)
72
d)
36
24.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
25.

SRQP is a rhombus. If SQ=24 and RP=10, find SR.

a)

26

b)

13

c)

12

d)

5

26.

HIJK is a rectangle. Find the value of x.

HJ = 3x + 5 and IK = 5x -9

a)

7

b)

14

c)

26

d)

7/3

27.
HIJK is a rectangle. Find the value of length of each diagonal.
HJ = x and IK = 2x - 7
a)
7
b)
14
c)
21
d)
7/3
28.
HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 7  and IK = 6x - 11
a)
6
b)
25
c)
26
d)
7/3
29.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
30.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
31.

Solve for x in the rectangle.

a)

25

b)

20

c)

30

d)

25/3

32.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
33.
The diagonals of a rectangle are
a)
Congruent
b)
Parallel
c)
Perpendicular
d)
Skew
34.
BD = 16 and CE = 12.Find BA.
a)
6
b)
8
c)
10
d)
12
35.

Which of the following is a property of all parallelograms?

a)

Diagonals are congruent

b)

Consecutive sides are perpendicular

c)

Opposite angles are congruent

d)

4 congruent sides

36.

Which of the following are properties of all parallelograms?

a)

opposite sides parallel

b)

diagonals congruent

c)

diagonals bisect each other

d)

opposite angles congruent

e)

opposite sides congruent

37.

Which of the following is not a property of all parallelograms?

a)

Consecutive angles supplementary

b)

Diagonals bisect each other

c)

Diagonals are perpendicular

d)

Opposite sides are congruent

38.

Which of the following are not properties of a rhombus?

a)

diagonals are perpendicular bisectors

b)

diagonals bisect each other

c)

diagonals are equal

d)

all four sides are congruent

e)

all angles are 90o