Free Printable Topic 8 Review Quadilaterals

1.

What is the length of the Midsegment?

a)

6

b)

9

c)

12

d)

18

2.

Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.

a)

angle oppostie

b)

side perpendicular

c)

side parallel

d)

incenter point

3.

A midsegment of a scalene triangle has a length of 12 in.

What is the length of its corresponding side?

a)

6 inches

b)

12 inches

c)

24 inches

d)

Cannot be determined without the coordinates.

4.

What is the value of y?

a)

3

b)

-3

c)

No Solution

d)

5

5.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

6.

QR is a midsegment of ∆FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

7.

$\overline{TS}$ is a midsegment of $\Delta GHI$ .
Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

8.

$\overline{QR}$ is a midsegment of $\Delta BCD$ .
Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

9.

Find the length of AB.

a)

6

b)

11

c)

17

d)

68

10.

Solve for x.

a)

14

b)

20

c)

8

d)

10

11.

Solve for x.

a)

11

b)

27

c)

29

d)

10

12.

Solve for x.

a)

9

b)

23

c)

10

d)

12

13.

Solve for x.

a)

8

b)

21

c)

10

d)

12

14.

Solve for x.

a)

11

b)

27

c)

16

d)

13

15.

Solve for x.

a)

20

b)

-2

c)

3

d)

8

16.

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

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

17.

A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

18.

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

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

19.

A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

20.

Kate built a garden box with 4 sides. It has two sets of parallel sides. Which of the following shapes could her garden NOT be?

a)

rectangle

b)

trapezoid

c)

square

d)

parallelogram

21.

Select all that apply.

DIAGONALS $\cong$

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

22.

Select all that apply.

DIAGONALS $\perp$

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

23.

Select all that apply.

DIAGONALS BISECT ANGLES

a)

RECTANGLE

b)

RHOMBUS

c)

SQUARE

d)

PARALLELOGRAM

24.

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

25.

A quadrilateral has 4 sides

a)

Always

b)

Sometimes

c)

Never

26.

A quadrilateral with 2 pairs of opposite angles congruent is ___ a rhombus.

a)

always

b)

sometimes

c)

never

27.

A quadrilateral with 2 pairs of parallel sides is ___ a square.

a)

always

b)

sometimes

c)

never

28.

A quadrilateral with 2 pairs of parallel sides is ___ a parallelogram

a)

always

b)

sometimes

c)

never

29.

A rhombus ___ has exactly 1 pair of parallel opposite sides.

a)

always

b)

sometimes

c)

never

30.

A rectangle ___ has 2 pairs of congruent opposites sides.

a)

always

b)

sometimes

c)

never

31.

A rectangle ___ has congruent diagonals.

a)

always

b)

sometimes

c)

never

32.

A rectangle is ___ a rhombus

a)

always

b)

sometimes

c)

never

33.

An Isosceles Trapezoid has congruent diagonals

a)

Always

b)

Sometimes

c)

Never

34.

A Rhombus has perpendicular diagonals

a)

Always

b)

Sometimes

c)

Never

35.

A Square has congruent diagonals

a)

Always

b)

Sometimes

c)

Never

36.

A Parallelogram has four congruent sides

a)

Always

b)

Sometimes

c)

Never

37.

A Parallelogram is a Square

a)

Always

b)

Sometimes

c)

Never

38.

The diagonals of a Quadrilateral bisect each other

a)

Always

b)

Sometimes

c)

Never

39.

A rhombus is a square

a)

Sometimes

b)

Always

c)

Never

40.

A Rhombus is a quadrilateral

a)

Always

b)

Sometimes

c)

Never

41.

A Parallelogram is a Square

a)

Always

b)

Sometimes

c)

Never

42.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

43.

Find the measure of ∠1:

a)

79°

b)

101°

c)

72°

d)

180°

44.

Find the measure of n:

a)

117

b)

63

c)

25

d)

39

45.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

46.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

47.

Find the value of x.

a)

7

b)

8

c)

85

d)

None of these

48.

The figure is a parallelogram.

Solve for x.

a)

x = 1

b)

x = 11

c)

x = 7

d)

x = 6

49.

The figure is a parallelogram.

Solve for x.

a)

x = 7

b)

x = 2

c)

x = 6

d)

x = 4

50.

The figure is a parallelogram.
What is the measure of $\angle B$ ?

a)

$\angle B=1\degree$

b)

$\angle B=87\degree$

c)

$\angle B=86\degree$

d)

$\angle B=-1\degree$

51.

The figure is a parallelogram.
$m\angle T=$ _______

a)

100°

b)

7°

c)

79°

d)

360°

52.

The figure is a parallelogram.

Solve for x.

a)

x = 0

b)

x = 6

c)

x = 5

d)

x = 9

53.

The figure is a parallelogram.

Solve for x.

a)

x = 5

b)

x = 7

c)

x = 12

d)

x = 2

54.

What are the values of x, y, and z?

a)

x = 145°, y = 145°, z = 145°

b)

x = 145°, y = 35°, z = 35°

c)

x = 35°, y = 145°, z = 35°

d)

x = 35°, y = 35°, z = 145°

55.

KJ=

a)

10

b)

13

c)

28

d)

8

56.

KH=

a)

10

b)

13

c)

28

d)

8

57.

GH=

a)

10

b)

13

c)

7

d)

8

58.

HJ=

a)

14

b)

16

c)

7

d)

8

59.

$m\angle KIH=$

a)

28

b)

84

c)

56

d)

42

60.

$m\angle JIH=$

a)

28

b)

84

c)

96

d)

42

61.

$m\angle KJI=$

a)

28

b)

84

c)

96

d)

42

62.

$m\angle HKI=$

a)

28

b)

84

c)

96

d)

68

63.

Perimeter of $\Delta KHJ$ =

a)

46

b)

39

c)

23

d)

31

64.

Solve for k.

Input numerical value only!

(a)

65.

Solve for t.

Input numerical value only!

(a)

66.

Solve for x.

Input numerical value only!

(a)

67.

Solve for z.

a)

180

b)

77

c)

41

d)

Not enough Information

68.

What is the measurement of every angle in a rectangle?

a)

180˚

b)

60˚

c)

90˚

d)

20˚

69.

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

a)

14

b)

22

c)

9

d)

11

70.

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

a)

2

b)

12

c)

13

d)

28

71.

ABCD is a rectangle. m∠BCE = 4x-23 and m∠DCE = 5+5x. Find m∠BCE.

a)

25

b)

12

c)

130

d)

32

72.

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

a)

6

b)

11

c)

7

d)

5

73.

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

a)

90

b)

58

c)

64

d)

32

74.

If AC = 10x+6 and BE = 8x-6, find BD.

a)

3

b)

18

c)

12

d)

36

75.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

76.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

77.

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

a)

90

b)

58

c)

64

d)

32

78.

In rectangle GHJK solve for x.

a)

25

b)

65

c)

17

d)

5

79.

Find y.

a)

2

b)

4

c)

6

d)

8

80.

The figure is a rhombus.
Solve for x.

a)

1

b)

11

c)

7

d)

6

81.

Given Rhombus TUVW. Find m∠2.

a)

62

b)

28

c)

90

d)

78

82.

Given Rhombus TUVW. Find m∠4.

a)

62

b)

28

c)

90

d)

78

83.

Find the measure of angle 1

a)

54

b)

108

c)

72

d)

36

84.

Find the measure of angle 2

a)

68

b)

22

c)

136

d)

44

85.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

30

c)

5

d)

10

86.

In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable.

a)

x = 10, y = 5, z = 6

b)

x = 9, y = 81, z = 6

c)

x = 15, y = 75, z = 4

87.

Find y.

a)

2

b)

4

c)

6

d)

8

88.

ABCD is a rhombus, if m∠ADB = 54°, find the value of m∠ADC.

a)

m∠ADC = 36°

b)

m∠ADC = 27°

c)

m∠ADC = 54°

d)

m∠ADC = 108°

89.

TECH is a rhombus, if m∠TEH = 21°, find the value of m∠ECH.

a)

m∠ECH = 42°

b)

m∠ECH = 21°

c)

m∠ECH = 69°

d)

m∠ECH = 138°

90.

PLUS is a rhombus, if m∠PLS = (x+20)° and m∠SLU = (3x - 10)°, find the value of m∠PLS

a)

m∠ADC = 110°

b)

m∠ADC = 55°

c)

m∠PLS = 70°

d)

m∠PLS = 35°

91.

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

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

92.

Find the m<DBC.

a)

Not enough information.

b)

45

c)

90

d)

36

93.

If PR=14, find PS.

a)

7

b)

$7\sqrt{2}$

c)

14

d)

28

94.

a)

90

b)

45

c)

30

d)

180

95.

If PQRS is a square. Find the length of QR.

a)

$3\ \sqrt[]{3}$

b)

7.3

c)

10.4

d)

9

96.

If PQRS is a square. Find the length of SQ.

a)

$3\ \sqrt[]{3}$

b)

6.35

c)

12.7

d)

9

97.

If PQRS is a square. Find the length of SR.

a)

$3\ \sqrt[]{3}$

b)

6.35

c)

12.7

d)

9

98.

If PQRS is a square. Find the $m\angle PTS$ .

a)

45

b)

90

99.

If angle ACB= 11X - 32, what is the value x?

a)

7

b)

45

c)

90

d)

180

100.

What is the angle of WRX?

a)

90

b)

180

c)

45

d)

30

101.

a)

x=11

b)

x=18.5

c)

x=6

d)

x=45

102.

What is PN?

a)

23

b)

46

c)

35.5

103.

Find AB

a)

11

b)

15.6

c)

7.8

d)

5.5

104.

In square CANE, find the value of a + b.

a)

$a+b=15$

b)

$a+b=20$

c)

$a+b=25$

d)

$a+b=10$

105.

In square ABCD, $DB=7x+1$ and $AC=4x+22$

Find the length of EB.

a)

7

b)

14

c)

25

d)

50

106.

What is the value of x?

a)

90

b)

25

c)

10

d)

180

107.

Given ABCD is a square, what is the measure of angle DBC

a)

90

b)

25

c)

45

d)

3

Topic 8 Review Quadilaterals

Total questions: 107

Worksheet time: 2hrs 47mins

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