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Worksheets

Quadrilaterals

Total questions: 20

Worksheet time: 56mins

Name
Class
Date
1.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

2.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

3.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
4.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

5.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

6.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
7.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
8.

Which of the following is not a property of a rhombus?

a)

Diagonals bisect corner angles

b)

Diagonals are perpendicular

c)

4 right angles

d)

4 congruent sides

9.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
10.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
11.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
12.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

13.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

14.

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

a)

39

b)

43

c)

47

d)

51

15.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

a)

8

b)

14

c)

17

d)

19

16.

In rectangle ABCD, AE = 3x + y,

EC = 2x + y + 7 and DE = 2y + 3x - 1. Find the values of x and y.


a)

x = 7; y = 1

b)

x = 7; y = -1

c)

x = 2; y = 6.5

d)

x = 4; y = -3.5

17.

Given square ABCD with diagonals If DB = 7x + 1 and AE = 2x + 11, find EB.

a)

7

b)

14

c)

25

d)

50

18.

Given parallelogram ABCD, labeled as shown. Find a and b.


a)

a = 10; b = -30

b)

a = 40; b = 10

c)

a = 10; b = 40

d)

a = 40; b = -10

19.

Given square ABCD with diagonals The m∠DEC = 2a - b andm∠ABC = a + 2b. Find a and b.

a)

a = 30; b = 30

b)

a = 42; b = 24

c)

a = 54; b = 18

d)

a = 60; b = 15

20.

Given square CANE with diagonals intersecting at B. m∠CNE = 3a + 2b,AC = 35, and CE = 6a + 5.Find the value of a + b.

a)

a + b = 15

b)

a + b = 20

c)

a + b = 25

d)

a + b = 45