Special Parallelograms
Name_________________________
Worksheet
For 1-8, complete the following charts by putting checks in the boxes that are true.
4 Sides
1.
2.
3.
4.
Opp. Sides 
All Sides 
Opp. Angles 
All Angles 
Parallelogram
Rectangle
Rhombus
Square
The diagonals ….
5.
6.
7.
8.
Opp. Sides ||
bisect each other
are congruent
bisect opposite angles
are perpendicular
Parallelogram
Rectangle
Rhombus
Square
For 9-17, determine if the statement is true or false.
_____9.
_____10.
_____11.
_____12.
_____13.
_____14.
_____15.
_____16.
_____17.
All quadrilaterals are parallelograms.
All parallelograms are quadrilaterals.
A square is a parallelogram.
A parallelogram with a right angle is a square.
All rectangles are parallelograms.
All rhombuses are squares.
All squares are rectangles.
A parallelogram with four congruent sides is a square.
A parallelogram with perpendicular diagonals is a square.
For 18-21, find the measure of the numbered angles in the figures.
m1 = _____
m2 = _____
m3 = _____
m4 = _____
m5 = _____
m6 = _____
m7 = _____
m8 = _____
m9 = _____
m10 = _____
m11 = _____
m12 = _____
18. ABCD is rectangle
A
B
5
7
D
19. RSTV is a rhombus
6 24°
R
3
8
4
9
36°
2
1
C
V
S
20. EFGH is a square
E
F
14
10
11
13
T
H
12
G
m13 = _____
m14 = _____
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21. ABCD is a rectangle
m1 =
m2 =
m3 =
m4 =
m5 =
m6 =
m7 =
A
_____
_____
_____
_____
_____
_____
_____
B
5
3
116°
2
6
D
7
1
4
C
For 22-23, for the following parallelograms,(a) choose the best name, (b) find the value
of each variable.
22.
23.
B
B
A
z
y
x
A
8
z
7
C
x
y
D
17
24
C
D
24. In quadrilateral MATH, MT and AH bisect each other at R and MR  HR.
MATH must be a
I. parallelogram
II. rectangle
III. square
A. I only
B. II only
C. I and II
D. II and III
E. I, II and III
25. Cindy is making the design shown below with silver wire. It consists of a rectangle and its
two diagonals. How much wire does she need to make this design?
9 in.
40 in.
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Quadrilateral 5 Worksheet Key
1.
2.
3.
4.
Parallelogram
Rectangle
Rhombus
Square
The diagonals ….
5.
6.
7.
8.
Parallelogram
Rectangle
Rhombus
Square
4 Sides
Opp. Sides ||








bisect each other
Opp. Sides 




are congruent




All Sides 
Opp. Angles 
All Angles 






bisect opposite angles


are perpendicular






9. F
10. T
11. T
12. F
13. T
14. F
15. T
16. 17
18. m1 = 24º, m2 = 48º, m3 = 66º, m4 = 66º, m5 = 24º,
m6 = 66º, m7 = 132º
19. m8 = 54º, m9 = 36º, m10 = 90, m11 = 54º
20. m12 = 45º, m13 = 90º, m14 = 45º
21. m1 = 32º, m 2 = 64º, m3 = 58º, m4 = 58º, m5 = 32º,
m6 = 58º, m7 = 32º
22. rhombus, x = y = 15, z = 17
23. rectangle, x = y = 12.5, z = 25
24. C
25. 180 in
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