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Algebraic Practice Problems
for Quadrilaterals
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Practice Page
Directions: Read each question carefully. Choose the best answer. State the rules or properties of quadrilaterals that were used to find the answers.

1.
The sides of parallelogram ABCD
are represented as shown.
Find DA.
Choose:
10
12
24
30
praca1
 

 

 

2.
In rhombus DOGS, DO = 2p + 9
and OG = 3p - 6.
Find GS.
Choose:
3
15
19
39
praca2
 

 

 

3.
The perimeter of quadrilateral ABCD is 46 inches. AB = x + 8,
BC
= 2x + 1, CD = 3x - 6, and DA = 4x - 7.
Find the length of the shortest side of the quadrilateral.
Choose:
6 inches
9 inches 11 inches 13 inches
 

 

 

4.
Given parallelogram ABCD with
m∠B = 5x and m∠C = 3x+4.
Find the number of degrees in ∠D.
Choose:
70º
73º
110º
115º
praca4
 

 

 

5.
The diagonals of rectangle ABCD intersect at E.
AE = x + 4 and CE = 3x - 12.
Find BD.
Choose:
8
12
16
24
prac5
 

 

 

6.
In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.
Find m∠EBC.
Choose:
39º
43º
47º
51º
praca6
 

 

 

7.
Given trapezoid ABCD with median EF (labeled as shown).
Find EF.

Choose:
8
14
17
19
praca7
 

 

 

8.
In rectangle ABCD, AE = 3x + y,
EC = 2x + y + 7 and DE = 2y + 3x - 1. Find the values of x and y.

Choose:
x = 7; y = 1
x = 7; y = -1
x = 2; y = 6.5
x = 4; y = -3.5
praca8
 

 

 

9.
Given square ABCD with diagonals pracq7a
If DB = 7x + 1 and AE = 2x + 11, find EB.

Choose:
7
14
25
50
praca99
 

 

 

10.
Given parallelogram ABCD, labeled as shown.   Find a and b.
Choose:
a = 10;    b = -30
a = 40;    b = 10
a = 10;    b = 40
a = 40;    b = -10

praca100
 

 

 

11.
Given square ABCD with diagonals pracq7a The m∠DEC = 2a + b and
m∠ABC = a + 2b.   Find a and b.
Choose:
a = 30;    b = 30
a = 42;    b = 24
a = 54;    b = 18
a = 60;    b = 15
praca11b
 

 

 

12.
Given square CANE with diagonals intersecting at B.   m∠CNE = 3a + 2b,
AC
= 35, and CE = 6a + 5.
Find the value of a + b.
Choose:
a + b = 15
a + b = 20
a + b = 25
a + b = 45
praca13
 


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