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Quadrilateral Properties Review

Total questions: 90

Worksheet time: 2hrs 31mins

Name
Class
Date
1.

A ___________ is a quadrilateral with two sets of parallel sides and 4 congruent (equal) sides. 

a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
2.
A rectangle is also a square.
True or False?
a)
True
b)
False
3.
Which of the following properties is true about parallelograms?
a)
Base angles are congruent.
b)
Diagonals are congruent.
c)
Opposite sides are parallel.
4.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
5.
A rhombus is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
6.
A rectangle is a paralellogram.
a)
True
b)
False
7.
All squares are rectangles.
a)
True
b)
False
8.
All rectangles are squares.
a)
True
b)
False
9.
All squares are rhombuses.
a)
True
b)
False
10.
The diagonals of a ________ are congruent
a)
Parallelogram
b)
Rectangle and square
c)
Rhombus and square
d)
Trapezoid
11.
Which statement is FALSE? 
A parallelogram _____________
a)
Has 2 sets of parallel sides
b)
Has diagonals that are perpendicular
c)
Has diagonals that bisect each other
12.
ABCD is a rhombus
What is the measurement of angle AED? 
a)
60 
b)
45
c)
90
d)
180
13.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

14.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

15.

Which quadrilateral(s) have diagonals that bisect each other?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

16.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

17.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

18.

The interior angle sum of a quadrilateral is...

a)

180

b)

270

c)

360

d)

300

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

22.

a)

A

b)

B

c)

C

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.



(a)  

26.



(a)  

27.



(a)  

28.



(a)  

29.
Find the missing angle.
a)
65°
b)
85°
c)
75°
d)
70°
30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

Use the properties of isosceles trapezoids to solve for angle R.

a)

130 degrees

b)

50 degrees

c)

25 degrees

d)

Can't tell

33.

a)

A

b)

B

c)

C

d)

D

34.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
35.

a)

A

b)

B

c)

C

d)

D

36.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
37.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
38.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
39.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
40.
Which of the following statements is false?
a)
all four angles are congruent
b)
the legs are congruent
c)
the diagonals are congruent
d)
the base angles are congruent
41.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
42.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
43.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
44.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
45.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
46.
Kite LMNO is shown.
Solve for x.
a)
90
b)
180
c)
60
d)
75
47.
A rectangle is a paralellogram.
a)
True
b)
False
48.
All squares are rectangles.
a)
True
b)
False
49.
All rectangles are squares.
a)
True
b)
False
50.
All squares are parallelograms.
a)
True
b)
False
51.
A trapezoid is a paralellogram.
a)
True
b)
False
52.
All squares are rhombuses.
a)
True
b)
False
53.
All rhombuses are squares.
a)
True
b)
False
54.
A rhombus is sometimes a rectangle.
a)
True
b)
False
55.
A kite is a paralellogram.
a)
True
b)
False
56.
In order to be a trapezoid, a quadrangle must have exactly one pair of parallel sides.
a)
True
b)
False
57.
This figure has 4 right angles and 4 congruent sides. Which term BEST names the figure?
a)
square
b)
rectangle
c)
kite
d)
trapezoid
58.
This figure has 2 pairs of parallel sides and 2 pairs of congruent sides.
a)
Paralellogram
b)
kite
c)
trapezoid
d)
triangle
59.
All of the following figures must have 4 right angles except...
a)
trapezoid
b)
square
c)
rectangle
60.
All of the following figures must have 4 congruent sides except...
a)
rectangle
b)
rhombus
c)
square
61.

All of the following are quadrilaterals except...

a)
square
b)
kite
c)
pentagon
d)
paralellogram
62.

Opposite sides of a parallelogram are congruent

a)

True

b)

False

63.

Consecutive angles of a parallelogram are congruent.

a)

True

b)

False

64.

Diagonals of a rectangle are congruent.

a)

True

b)

False

65.

All sides of a rhombus are congruent.

a)

True

b)

False

66.

Diagonals of a rectangle are perpendicular.

a)

True

b)

False

67.

Diagonals of a rhombus are perpendicular.

a)

True

b)

False

68.

Diagonals of a rhombus are congruent.

a)

True

b)

False

69.

Consecutive angles of a parallelogram are supplementary.

a)

True

b)

False

70.

Diagonals of a square bisect opposite angles.

a)

True

b)

False

71.

Base angles of an isosceles trapezoid are congruent.

a)

True

b)

False

72.

A rhombus has four right angles.

a)

True

b)

False

73.

Opposite angles of an isosceles trapezoid are supplementary.

a)

True

b)

False

74.

Diagonals of a parallelogram bisect opposite angles.

a)

True

b)

False

75.

Diagonals of a parallelogram are congruent.

a)

True

b)

False

76.

Diagonals of a square are perpendicular.

a)

True

b)

False

77.

A rectangle has four congruent sides.

a)

True

b)

False

78.

Diagonals of a parallelogram bisect each other.

a)

True

b)

False

79.

Opposite angles of a rhombus are supplementary.

a)

True

b)

False

80.

Diagonals of a rectangle bisect opposite angles.

a)

True

b)

False

81.

Diagonals of a rhombus bisect opposite angles.

a)

True

b)

False

82.

Diagonals of a square are congruent.

a)

True

b)

False

83.

Diagonals of an isosceles trapezoid are congruent.

a)

True

b)

False

84.

Diagonals of an isosceles trapezoid bisect each other.

a)

True

b)

False

85.

Which of the following is true?

a)

A square is always a rhombus

b)

A parallelogram is always a rectangle

c)

A rectangle is always a rhombus

d)

A rhombus is always a rectangle

86.

If a quadrilateral has 4 equal sides, then it is always a square.

a)

TRUE

b)

FALSE

87.

What type of quadrilateral has NO parallel sides?

a)

Parallelogram

b)

Kite

c)

Rhombus

d)

Trapezoid

88.

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite sides are congruent

(There may be more than one answer!)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

89.

Which quadrilateral has all of the following properties?

*diagonals are perpendicular

*diagonals are congruent

*diagonals bisect each other

a)

parallelogram

b)

rectangle

c)

rhombus

d)

square

e)

trapewzoid

90.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16

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