Numerical Practice with
Quadrilaterals

Topic Index | Geometry Index | Regents Exam Prep Center


Answer the following questions dealing with quadrilaterals.


1.

Which statements describe the properties of a trapezoid?  

a.  The bases are parallel.
b.  The diagonals are congruent.
c.  The opposite angles are congruent.
d.  The base angles are congruent.

Choose:

a, b and d
a, c and d
a and d
a only 

 

 

2.

Which statements describe the properties of a rhombus?

a.  The diagonals are perpendicular.
b.  The diagonals are congruent.
c.  The diagonals bisect each other.
d.  The diagonals bisect the angles.

Choose:

a, b, c, and d
a, c, and d
a and c
b and d

 

 

3.

The perimeter of a square is 80.
What is the area of the square?

Choose:

20
80
160
400

 

 

4.

 The diagonals of a rhombus are 10 and 24.
  Find the perimeter of the rhombus. 

 

Choose:

13
40
52
48

 

 

5.

The perimeter of a square is 24.  
In simplest radical form, find the 
length of the diagonal of the square.

Choose:




 

 

6.

 The opposite sides of a parallelogram are represented by
 2x + 10  and  5x - 20. 
 Find the length of the side of the parallelogram represented by  4x - 1.

Choose:

10
30
39
40

 

 

7.

If one angle of a parallelogram is 60 degrees,
find the number of
 degrees in the remaining 3 angles.

Choose:

60, 60, 60
30, 60, 90
60, 120, 120
60, 120, 150

 

 

8.

The measures of angles A and B of parallelogram ABCD are in the ratio of  2 : 7.  Find the measure of angle A.

Choose:

20
40
70
140

 

 

9.

In rhombus MATH, MA = y + 8 and
 AT = 4y - 7.    Find MA.

Choose:

5
8
10
13

 

 

10.

 In rectangle ABCD, the diagonals intersect at E. 
If AE = 3x + y, BE = 4x - 2y, and CE = 20,
find x and y.

             

Choose:

x = 3, y = 11
x = 7, y = 4
x = 7, y = -1
x = 6, y = 2

 

 

11.

EF is the median (mid-segment) of trapezoid ABCD
 EF = 25 and AD = 40.  Find BC.

Choose:

5
10
30
50

 

 

12.

In quadrilateral PRST, the perimeter is 49. 
 PR = x, RS = x + 3, ST = 2x + 4, and TP = 3x
 Find the length of the shortest side of the quadrilateral.
    

Choose:

6
7
9
18