Free Printable Topic 8 Quadrilaterals

1.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

2.

Which of the following statements is true?

a)

a kite has congruent opposite sides

b)

a kite has two pairs of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite form 4 congruent triangles

3.

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

4.

Kite LMNO is shown.
Solve for x.

a)

32

b)

148

c)

90

d)

58

5.

Kite LMNO is shown.
Solve for x.

a)

28

b)

59

c)

118

d)

31

6.

What is x?

a)

35

b)

45

c)

55

d)

90

7.

What is the perimeter of $\Delta ABC$ ?

a)

13

b)

14

c)

26

d)

Cannot be determined from the information given.

8.

If LN = 5, then AC = ______.

a)

5

b)

10

c)

15

d)

25

9.

When SR = 68, what is CA?

a)

34

b)

68

c)

136

d)

17

10.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

11.

Find the measure of DG.

a)

14

b)

28

c)

12

d)

20

12.

Find the value of x.

a)

28

b)

56

c)

30

d)

25

13.

Find the measure of the x (midsegment):

a)

15

b)

20

c)

6

d)

18

14.

Find the midsegment.

a)

11

b)

22

c)

None of these

d)

10.5

15.

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

a)

1

b)

2

c)

3

d)

4

16.

If this Trapezoid is isosceles, what is measure of angle 1?

a)

105 degrees

b)

75 degrees

17.

What is the measure of ∠P?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

18.

Find the value of x.

a)

7

b)

8

c)

85

d)

None of these

19.

Find the measure of n:

a)

117

b)

63

c)

25

d)

39

20.

Find the measure of ∠1:

a)

79°

b)

101°

c)

72°

d)

180°

21.

What is the value of x?

a)

2.125

b)

4

c)

120

d)

3.5

22.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

23.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

24.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

25.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

26.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Not Parallelogram

b)

Opposite Sides are congruent

c)

Opposite Angles are congruent

d)

1 set of Opposite Sides is Parallel and Congruent

27.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Diagonals Bisect eachother

b)

Opposite Sides Congruent

c)

Opposite Angles congruent

d)

1 set of Opposite Sides is Parallel and Congruent

28.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Diagonals bisect eachother

b)

Opposite Sides Congruent

c)

Opposite Angles Congruent

d)

1 set of Opposite Sides is Parallel and Congruent

29.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, all opposite sides are congruent

b)

yes, opposite angles are congruent

c)

yes, opposite sides are parallel

d)

yes, consecutive interior angles are supplementary

30.

Determine if the quadrilateral is a parallelogram and justify.

a)

Is a parallelogram because, opposite sides parallel

b)

Is a parallelogram because, opposite sides congruent

c)

Is a parallelogram because, opposite angles congruent

d)

Is a parallelogram because, one set of sides is parallel and congruent

e)

Not a parallelogram.

31.

Find the value of x.

a)

360

b)

45

c)

135

d)

60

32.

Find x.

a)

75

b)

85

c)

105

d)

95

33.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

34.

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

a)

11

b)

14

c)

9

d)

22

35.

Find x.

a)

82

b)

98

c)

180

d)

90

36.

The sum of all four angles in a quadrilateral is ____________.

a)

360 degrees

b)

180 degrees

c)

90 degrees

d)

supplementary

37.

A rectangle is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

38.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

39.

What does it mean if diagonals are perpendicular (⊥)?

a)

They bisect the vertex

b)

Where they intersect is a 90˚ angle

c)

They are equal

40.

What is the measurement of every angle in a rectangle?

a)

180˚

b)

60˚

c)

90˚

d)

20˚

41.

Which of the following is true about sides of a rectangle.

a)

Opposite sides are perpedicular

b)

Opposite sides are congruent

c)

All sides are congruent

42.

If ABCD is a rectangle and AC = 56ft,

AO =

a)

28

b)

112

c)

56

43.

If WVUT is a rectangle and TV = 8ft,

OU =

a)

4

b)

8

c)

2

44.

If EHGF is a rectangle and OE = 9 ft,

GE =

a)

18

b)

9

c)

4.5

45.

If XWZY is a rectangle and YO = 30 ft,

OW =

a)

30

b)

15

c)

60

46.

In rectangle ABCD, AC = 9x+20 and BD = 10x+8. Solve for x.

a)

2

b)

12

c)

13

d)

28

47.

If PQRS is a rectangle, PR = 9x+1 and QS = 13x-11, find TR.

a)

3

b)

14

c)

8

d)

63

48.

The diagonals of a rhombus

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

49.

A Rhombus has congruent ________

a)

Angles

b)

Sides

c)

Windows

d)

Doors

50.

In a rhombus, opposite angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

51.

The diagonals of a rhombus are

a)

parallel

b)

congruent

c)

perpendicular

d)

equal to the side lengths

52.

What does it mean if diagonals are perpendicular (⊥)?

a)

They bisect the vertex

b)

Where they intersect is a 90˚ angle

c)

They are equal

53.

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

54.

The diagonals of a square are

a)

parallel

b)

congruent

c)

perpendicular

d)

congruent and perpendicular

55.

Diagonals bisect the angles of a Square

a)

True

b)

False

56.

a)

90

b)

45

c)

30

d)

180

57.

A square is a rectangle.

a)

Sometimes

b)

Always

c)

Never

58.

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

59.

What is the perimeter of this square?

a)

7 cm

b)

14 cm

c)

21 cm

d)

28 cm

60.

What is the perimeter of this square?

a)

25 cm

b)

10 cm

c)

20 cm

d)

5 cm

61.

What is the perimeter of a square with a side that measures 15 m?

a)

60 m

b)

225 m

c)

75 m

d)

45 m

62.

How do you find the perimeter of a rectangle?

a)

Add the side lengths together

b)

Length x Width

c)

Width x Width

d)

Length + Length

63.

If the perimeter of a square is 12 ft, what is the length of each side?

a)

9

b)

3

c)

30

d)

48

64.

If the perimeter of a square is 20 ft, what is the length of each side?

a)

25

b)

5

c)

10

d)

80

65.

The perimeter of a square rug is 28 feet. What is the length of each side?

a)

28

b)

7

c)

49

d)

35

66.

A Kite is a quadrilateral

a)

Always

b)

Sometimes

c)

Never

67.

A Rectangle is a Square

a)

Always

b)

Sometimes

c)

Never

68.

A Square is a Rectangle

a)

Always

b)

Sometimes

c)

Never

69.

A Quadrilateral with perpendicular diagonals is a Kite

a)

Always

b)

Sometimes

c)

Never

70.

A Rhombus is a Trapezoid

a)

Always

b)

Sometimes

c)

Never

71.

An Isosceles Trapezoid has perpendicular diagonals

a)

Always

b)

Sometimes

c)

Never

72.

A Rhombus is a Parallelogram

a)

Always

b)

Sometimes

c)

Never

73.

A Quadrilateral is a Parallelogram

a)

Always

b)

Sometimes

c)

Never

74.

A Quadrilateral is a Kite

a)

Always

b)

Sometimes

c)

Never

75.

A Trapezoid is a Kite

a)

Always

b)

Sometimes

c)

Never

76.

A Parallelogram is a Square

a)

Always

b)

Sometimes

c)

Never

77.

A Parallelogram has four congruent sides

a)

Always

b)

Sometimes

c)

Never

78.

A Square has congruent diagonals

a)

Always

b)

Sometimes

c)

Never

79.

A Rhombus has perpendicular diagonals

a)

Always

b)

Sometimes

c)

Never

80.

A Rhombus is a Kite

a)

Always

b)

Sometimes

c)

Never

81.

An Isosceles Trapezoid has congruent diagonals

a)

Always

b)

Sometimes

c)

Never

Topic 8 Quadrilaterals

Total questions: 81

Worksheet time: 4hrs 3mins

Similar Resources on Wayground