Free Printable PROPERTIES OF QUADRILATERALS

1.

This quadrilateral is a kite. $\angle A$ and $\angle C$ are vertex angles. What's $m\angle B$ ?

(a)

2.

This quadrilateral is a kite. $\angle A$ and $\angle C$ are vertex angles. What's $m\angle D$ ?

(a)

3.

This quadrilateral is a kite. $\angle Q$ and $\angle S$ are vertex angles. Find $m\angle PTQ$ .

(a)

4.

This quadrilateral is a kite. $\angle Q$ and $\angle S$ are vertex angles. Find $m\angle PQT$ .

(a)

5.

This quadrilateral is a kite. $\angle Q$ and $\angle S$ are vertex angles. Find $m\angle QRT$ .

(a)

6.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle1$ .

(a)

7.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle2$ .

(a)

8.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle3$ .

(a)

9.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle4$ .

(a)

10.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle5$ .

(a)

11.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle6$ .

(a)

12.

This quadrilateral is a kite. $\angle B$ and $\angle D$ are vertex angles. Find $m\angle7$ .

(a)

13.

The diagonals in a kite __________.

a)

are congruent

b)

are supplementary

c)

are perpendicular

d)

are parallel

14.

A kite is a quadrilateral with exactly two pairs of consecutive congruent _________.

a)

Angles

b)

Sides

c)

Diagonals

d)

Vertices

15.

What is the value of x in the illustration?

(a)

16.

In kite ABCD, m<DAE = 42, what is m<ABE?

(a)

17.

In kite ABCD, m<BAD=78 and m<DBC=59. What is m<ABC?

(a)

18.

In kite ABCD, if m<BAD = 101 and m<BCD = 49, what is m<ADC?

(a)

19.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

20.

Name that shape.

a)

trapezoid

b)

quadrilateral

c)

parallelogram

d)

rhombus

21.

Which figure is NEVER a parallelogram?

a)

rhombus

b)

square

c)

triangle

d)

rectangle

22.

Name that shape.

a)

quadrilateral

b)

quadrilateral, parallelogram

c)

quadrilateral, rectangle

d)

quadrilateral, rhombus

23.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

24.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

25.

Parallelograms are ...

a)

triangles

b)

quadrilaterals

c)

pentagons

d)

hexagons

26.

Which two figures can always be described as quadrilaterals with all sides congruent?

a)

square and rhombus

b)

square and rectangle

c)

rhombus and parallelogram

d)

rectangle and parallelogram

27.

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

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

28.

Select all the statements below that are true about a rectangle and a square.

a)

They are both quadrilaterals

b)

They both have four equal sides

c)

They both have the same number of angles

d)

They are both rectangles.

e)

They are both squares.

29.

A trapezoid is a quadrilateral with exactly one pair of _____ sides.

a)

parallel

b)

congruent

c)

perpendicular

d)

skew

30.

Find the missing angle.

a)

65°

b)

85°

c)

75°

d)

70°

31.

What is the sum of a Quadrilaterals interior angles?

a)

180

b)

360

c)

400

d)

240

32.

How many degrees are in the missing angle?

a)

60°

b)

114°

c)

70°

d)

360°

33.

Which of the following properties is true about parallelograms?

a)

Base angles are congruent.

b)

Diagonals are congruent.

c)

Opposite sides are parallel.

34.

Which of the following properties is true about squares?

a)

Four congruent sides.

b)

Exactly one diagonal bisects a pair of opposite angles.

c)

Exactly one pair of parallel sides.

35.

Which of the following properties is true about rectangles?

a)

Four congruent sides.

b)

Four right angles.

c)

Diagonals bisect opposite angles.

36.

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC

a)

10

b)

5

c)

15

37.

What do a rhombus and a rectangle have in common?

a)

they are both parallelograms

b)

they always have four right angles

c)

they are not polygons

d)

they have five sides

38.

The diagonals of a parallelogram

a)

are always congruent

b)

bisect each other

c)

are never congruent

d)

parallel

39.

A rhombus is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

40.

The diagonals of a rhombus are

a)

parallel

b)

congruent

c)

perpendicular

d)

equal to the side lengths

41.

Given Rhombus TUVW. Find m∠2.

a)

62

b)

28

c)

90

d)

78

42.

Given Rhombus TUVW. Find m∠4.

a)

62

b)

28

c)

90

d)

78

43.

True/False: Every rhombus is a square.

a)

True - they both have 4 equal sides

b)

True - the diagonals are perpendicular

c)

False - a rhombus CAN'T have 90 degree angles

d)

False - a rhombus won't always have 90 degree angles.

44.

Every square is a rhombus
T or F

a)

True

b)

false

45.

The diagonals of a rhombus

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

46.

In a rhombus, opposite angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

47.

Which of the following are NOT true about diagonals of a rhombus?

a)

they are perpendicular

b)

they bisect each other

c)

they are congruent

48.

The figure is a rhombus.
Solve for x.

a)

1

b)

11

c)

7

d)

6

49.

Find the values of x that makes the parallelogram a rhombus.

a)

5

b)

10

c)

15

d)

25

50.

All rectangles are squares.

a)

True

b)

False

51.

All squares are parallelograms.

a)

True

b)

False

52.

All squares are rhombuses.

a)

True

b)

False

53.

All rhombuses are squares.

a)

True

b)

False

54.

A square has all the properties of a

a)

parallelogram

b)

rectangle

c)

rhombus

d)

parallelogram, rectangle, and rhombus

55.

The diagonals of a square

a)

form two 45° angles at each vertex

b)

form two 40° angles at each vertex

c)

form two 35° angles at each vertex

d)

form two 50° angles at each vertex

56.

The diagonals of a square are

a)

parallel

b)

congruent

c)

perpendicular

d)

congruent and perpendicular

57.

Diagonals bisect the angles of a Square

a)

True

b)

False

58.

a)

90

b)

45

c)

30

d)

180

59.

A square is a rectangle.

a)

Sometimes

b)

Always

c)

Never

60.

In a square, the diagonals are...

a)

bisect the angles

b)

perpendicular

c)

congruent

d)

all of the above

61.

In a square, opposite angles are...

a)

congruent

b)

supplementary

c)

both congruent and supplementary

62.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

63.

A square is a parallelogram with...(read all options before selecting)

a)

four right angles

b)

four congruent sides

c)

four right angles and four congruent sides

d)

none of the above

64.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

65.

In a rectangle, consecutive angles are supplementary.

a)

True

b)

False

66.

In a rectangle, all angles are congruent.

a)

True

b)

False

67.

______ rectangles are parallelograms.

a)

All

b)

Some

c)

No

68.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

69.

Which of the following is true about the diagonals of a rectangle? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

70.

If the figure is a rectangle, the value of x is...

a)

2

b)

12

c)

13

d)

28

71.

Solve for x in the rectangle.

a)

25

b)

20

c)

30

d)

25/3

72.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

73.

Which of the following is NOT true about sides of a rectangle.

a)

Opposite sides are parallel

b)

Opposite sides are congruent

c)

Consecutive sides are perpendicular

d)

All sides are congruent

74.

Which of the following is NOT true about angles in a rectangle?

a)

Opposite angles are congruent

b)

Diagonals bisect the angles

c)

Consecutive angles are congruent

d)

Consecutive angles are supplementary

75.

In a rectangle, opposite sides are parallel.

a)

True

b)

False

76.

In a rectangle, opposite sides are congruent.

a)

True

b)

False

77.

In a rectangle, all sides are congruent.

a)

True

b)

False

78.

In a rectangle, opposite angles are congruent.

a)

True

b)

False

79.

In a rectangle, consecutive angles are congruent.

a)

True

b)

False

80.

In a rectangle, consecutive sides are perpendicular.

a)

True

b)

False

81.

All squares are rectangles.

a)

True

b)

False

82.

All rectangles are squares.

a)

True

b)

False

83.

All rectangles are parallelograms.

a)

True

b)

False

84.

A rectangle is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

85.

a)

1.75

b)

11

c)

2

d)

15

86.

ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find ED.

a)

11

b)

22

c)

14

d)

9

87.

ABCD is a rectangle. m∠BCA = 58. Find m∠AEB.

a)

90

b)

58

c)

116

d)

132

88.

A Trapezoid is a parallelogram.

a)

True

b)

False

89.

In a Trapezoid, there is exactly ___ pair(s) of parallel sides.

a)

1

b)

2

c)

3

d)

4

90.

True or false. A trapezoid has 2 bases.

a)

True

b)

False

91.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

92.

What is the measure of ∠R?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

93.

What is the measure of ∠P?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

94.

What is the measure of ∠A?

a)

15 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

95.

In a Trapezoid, the parallel sides are called the _____________.

a)

Legs

b)

Bases

96.

Find the measure of ∠1:

a)

79°

b)

101°

c)

72°

d)

180°

97.

Given trapezoid ABCD, Find the value of x.

a)

7

b)

8

c)

85

d)

None of these

98.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

99.

Find the measure of n:

a)

117

b)

63

c)

25

d)

39

100.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

101.

Which of the following properties is true about isosceles trapezoids?

a)

Opposite sides are parallel.

b)

Diagonals are congruent.

c)

Opposite angles are congruent.

102.

Which of the following properties is true about isosceles trapezoids?

a)

Legs are congruent.

b)

All pairs of consecutive angles are supplementary.

c)

Diagonals are perpendicular.

103.

Find the measure of the midsegment XY:

a)

21

b)

9

c)

12

d)

10.5

104.

Find the measure of DG.

a)

14

b)

28

c)

12

d)

16

105.

Find the value of x.

a)

35

b)

3

c)

33

d)

4

106.

Find the value of x.

a)

18.5

b)

8

c)

11

d)

None of the above.

107.

XV = 4.6, and WY = 14.2. Find VZ.

a)

9.6

b)

9.2

c)

8

d)

14.2

108.

What is the best definition of a parallelogram?

a)

quadrilateral with one pair of parallel sides

b)

quadrilateral with two pairs of parallel sides

c)

any four sided figure with opposite sides congruent

d)

a quadrilateral with two pairs of congruent sides

109.

What is the best definition of a rhombus?

a)

a square with slanted sides

b)

a parallelogram with one pair of congruent sides

c)

A parallelogram with opposite sides congruent

d)

a parallelogram with fours sides congruent

110.

What is the best definition of a rectangle?

a)

a parallelogram with four right angles

b)

a quadrilateral with opposite sides congruent

c)

a parallelogram with four congruent sides

d)

A quadrilateral with opposite angles congruent

111.

What is the best definition of a rectangle?

a)

a parallelogram with four right angles

b)

a quadrilateral with opposite sides congruent

c)

a parallelogram with four congruent sides

d)

A quadrilateral with opposite angles congruent

112.

Consecutive angles of a parallelogram are supplementary

a)

sometimes true

b)

always true

c)

never true

113.

Opposite angles of a square are supplementary

a)

always true

b)

sometimes true

c)

never true

114.

Diagonals of a parallelogram bisect each other

a)

always true

b)

sometimes true

c)

never true

115.

diagonals of a square are congruent

a)

always true

b)

sometimes true

c)

never true

116.

a trapezoid is a parallelogram

a)

always true

b)

sometimes true

c)

never true

117.

Diagonals of a parallelogram are congruent

a)

always true

b)

sometimes true

c)

never true

118.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

119.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

120.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

121.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

122.

The figure is a parallelogram.
Solve for x.

a)

12

b)

4

c)

6

d)

2

123.

The figure is a parallelogram.
Solve for x.

a)

11

b)

10

c)

6

d)

2

124.

The figure is a parallelogram.
Solve for x.
Give a reason.

a)

9

b)

6

c)

10

d)

2

125.

The figure is a parallelogram.
Solve for x.

a)

10

b)

3

c)

5

d)

12

126.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

127.

Find m∠U.

a)

95°

b)

85°

c)

75°

d)

90°

PROPERTIES OF QUADRILATERALS

Total questions: 127

Worksheet time: 5hrs 45mins