Free Printable HGEO Ch. 7 Quadrilaterals

1.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

2.

Name that shape.

a)

trapezoid

b)

quadrilateral

c)

parallelogram

d)

rhombus

3.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

4.

A __________________ is always a rhombus, but a rhombus is not always a _______________.

a)

rhombus

b)

parallelogram

c)

square

d)

rectangle

5.

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

a)

TRUE

b)

FALSE

6.

A trapezoid is a quadrilateral with exactly ONE set of parallel sides.

a)

TRUE

b)

FALSE

7.

If a shape is a square, then it is also a rectangle and a rhombus.

a)

TRUE

b)

FALSE

8.

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

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

9.

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

10.

Sometimes, Always, Never: A rectangle is ____ a rhombus.

a)

Sometimes

b)

Always

c)

Never

11.

Find Angle 1, Angle 2, and Angle 3.

a)

Angle 1 = 45, Angle 2 = 45, Angle 3 = 135

b)

Angle 1 = 135, Angle 2 = 55, Angle 3 = 55

c)

Angle 1 = 55, Angle 2 = 55, Angle 3 = 125

d)

Angle 1 = 40, Angle 2 = 40, Angle 3 = 135

12.

What is NOT a property of a rectangle?

a)

Diagonals are congruent.

b)

Diagonals bisect each other.

c)

Diagonals are perpendicular.

d)

All angles are congruent.

13.

What is the correct name for the shape?

a)

Rectangle

b)

Trapezoid

c)

Kite

d)

Pentagon

14.

This figure is not a _______.

a)

trapezoid

b)

square

c)

rectangle

d)

parallelogram

15.

4 equal sides 2 pair of parallel sides diagonals bisect but are not equal in length

a)

Square

b)

Rhombus

c)

Trapezium

d)

Parallelogram

16.

Sometimes, Always, Never:
A parallelogram is a rectangle.

a)

Sometimes

b)

Always

c)

Never

17.

What is the name of this shape?

a)

Kite

b)

Rhombus

c)

Square

d)

Rectangle

18.

A trapezoid has one pair of congruent sides.

a)

Never

b)

Sometimes

c)

Always

19.

A rectangle has two pairs of parallel sides.

a)

Never

b)

Sometimes

c)

Always

20.

A parallelogram has four acute angles.

a)

Never

b)

Sometimes

c)

Always

21.

If a shape is a square, then it is also a rectangle and a rhombus.

a)

TRUE

b)

FALSE

22.

A trapezoid is a quadrilateral with exactly one set of parallel sides.

a)

TRUE

b)

FALSE

23.

A rectangle can be a trapezoid.

a)

True

b)

False

24.

Select all the true statements about the shape above.

a)

It is a quadrilateral.

b)

It has 4 right angles.

c)

It has two sets of parallel lines.

d)

It is a parallelogram.

e)

It has equal sides.

25.

John collects polygon buttons. If he only wants quadrilaterals, which of the following buttons should John choose? Select ALL that apply.

a)

rhombus

b)

triangle

c)

hexagon

d)

trapezoid

e)

pentagon

26.

My shape is a quadrilateral. It has two sets of parallel lines. It does not have any right angles, but it does have equal sides. Which one is my shape?

a)

b)

c)

d)

27.

What are parallel lines?

a)

Lines that cross each other.

b)

Lines that form an angle or corner.

c)

Lines that will never cross.

d)

Lines that are curved.

28.

How many sides does a quadrilateral have?

a)

4

b)

3

c)

5

d)

6

29.

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

a)

trapezoid

b)

parallelogram

c)

triangle

30.

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

31.

Which quadrilateral has all right angles and all sides the same length?

a)

Rhombus

b)

Parallelogram

c)

Square

d)

Trapezoid

32.

Which quadrilateral cannot be called a parallelogram?

a)

Square

b)

Trapezoid

c)

Rectangle

d)

Rhombus

33.

Bob says that the red shape is a trapezoid. Mary says that these are both trapezoids. Who is correct?

a)

Mary, because both are quadrilaterals and have one pair of parallel lines.

b)

Bob, because only the first shape has slanted lines and looks like a trapezoid.

34.

I am searching for a shape that has 4 sides. It has 4 right angles and is a parallelogram. Which shapes could work? Select all that apply.

a)

square

b)

rhombus

c)

rectangle

d)

trapezoid

e)

octagon

35.

Mrs. DiLeo drew this shape. Which two quadrilaterals did she combine to make it?

a)

square + parallelogram

b)

trapezoid + parallelogram

c)

square + trapezoid

36.

Select ALL the statements that are false.

a)

All quadrilaterals have right angles.

b)

A rectangle is a parallelogram.

c)

A rhombus has equal sides.

d)

Trapezoids don't have parallel lines.

e)

A triangle is a quadrilateral.

37.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

38.

Check all that apply.

a)

Parallelogram

b)

Rectangle

c)

Trapezoid

d)

Rhombus

39.

Check all that apply.

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Trapezoid

40.

Check all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

41.

Check all that apply.

a)

Rhombus

b)

Trapezoid

c)

Kite

d)

Parallelogram

42.

Check all that apply.

a)

Parallelogram

b)

Rhombus

c)

Trapezoid

d)

Kite

43.

Clue: This quadrilateral is a parallelogram with congruent sides and four right angles.

a)

Rectangle

b)

Square

44.

Clue: This quadrilateral has two pairs of congruent adjacent sides and opposite sides that are not congruent.

a)

Parallelogram

b)

Kite

45.

Clue: This quadrilateral has exactly one pair of parallel sides.

a)

Trapezoid

b)

Parallelogram

46.

Clue: This is a quadrilateral with opposite sides that are parallel and congruent.

a)

Trapezoid

b)

Parallelogram

47.

Clue: This quadrilateral is a parallelogram with four right angles.

a)

Rectangle

b)

Rhombus

48.

Clue: This quadrilateral is a parallelogram with four congruent sides.

a)

Rhombus

b)

Kite

49.

True or False: A rectangle is a special kind of parallelogram that has four right angles and its opposite side lengths are congruent.

a)

True

b)

False

50.

True or False: A rhombus is NOT a parallelogram.

a)

True

b)

False

51.

True or False: A trapezoid is a parallelogram.

a)

True

b)

False

52.

True or False: The sum of all four angles of any quadrilateral is always 360 degrees.

a)

True

b)

False

53.

Find the value of x.

a)

x = 80 degrees

b)

x = 100 degrees

c)

x = 90 degrees

d)

x = 110 degrees

54.

Find the value of x.

a)

x = 90 degrees

b)

x = 81 degrees

c)

x = 124 degrees

d)

x = 65 degrees

55.

Find the value of x.

a)

x = 115 degrees

b)

x = 90 degrees

c)

x = 65 degrees

d)

x = 70 degrees

56.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

57.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

58.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

59.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

60.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

61.

Solve for the variables.

a)

g=61, h=25

b)

g=60, h=9

c)

g=61, h=9

62.

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

a)

2

b)

12

c)

13

d)

28

63.

Solve for the variables.

a)

m=68, n=70

b)

m=35, n=70

c)

m=35, n=110

d)

m=68, n=110

64.

Rhombus: Find the measure of ∠2:

a)

59°

b)

45°

c)

118°

d)

90°

65.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

66.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

67.

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

a)

39

b)

43

c)

47

d)

51

68.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

a)

8

b)

14

c)

17

d)

19

69.

In rectangle ABCD, AE = 3x + y,

EC = 2x + y + 7 and DE = 2y + 3x - 1. Find the values of x and y.

a)

x = 7; y = 1

b)

x = 7; y = -1

c)

x = 2; y = 6.5

d)

x = 4; y = -3.5

70.

Given square ABCD with diagonals If DB = 7x + 1 and AE = 2x + 11, find EB.

a)

7

b)

14

c)

25

d)

50

71.

Given parallelogram ABCD, labeled as shown. Find a and b.

a)

a = 10; b = -30

b)

a = 40; b = 10

c)

a = 10; b = 40

d)

a = 40; b = -10

72.

Given square ABCD with diagonals The m∠DEC = 2a - b andm∠ABC = a + 2b. Find a and b.

a)

a = 30; b = 30

b)

a = 42; b = 24

c)

a = 54; b = 18

d)

a = 60; b = 15

73.

Given square CANE with diagonals intersecting at B. m∠CNE = 3a + 2b,AC = 35, and CE = 6a + 5.Find the value of a + b.

a)

a + b = 15

b)

a + b = 20

c)

a + b = 25

d)

a + b = 45

74.

Which shape is NOT a polygon?

a)

b)

c)

d)

75.

A polygon is a shape made of...

a)

curved lines

b)

straight lines

c)

4 lines

d)

3 sides

76.

Which shape is NOT an example of a parallelogram?

a)

b)

c)

d)

77.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

78.

What is the SUM of the angle measures in a triangle (3 sides)?

a)

60°

b)

90°

c)

120°

d)

180°

79.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

80.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

81.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

82.

The sum of the interior angles in a polygon is 3,240^o. How many sides are in the polygon?

a)

10

b)

582,840

c)

18

d)

20

83.

What is the sum of the interior angles of the hexagon shown?

a)

180°

b)

540°

c)

720°

d)

1080°

84.

What is the sum of the interior angles of the nonagon shown?

a)

720°

b)

900°

c)

1080°

d)

1260°

85.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

86.

What is the formula for the Polygon Interior Angle Sum Theorem?

a)

$\left(n\ -\ 2\right)\ \times\ 180$

b)

$\left(n\ -\ 180\right)\ \times2$

c)

$n\times180$

d)

$\left(\pi r^2-180\right)\times2$

87.

Using the Polygon Interior Angle Sum Theorem, what is the interior angle sum of a 9-sided irregular polygon?

a)

$1240\degree$

b)

$720\degree$

c)

$901\degree$

d)

$900\degree$

88.

What part of the Polygon Interior Angle Sum Theorem tells you how many triangles make up a particular polygon?

a)

$\left(n-2\right)\times180$

b)

$n$

c)

$\left(n-2\right)$

89.

In the Polygon Interior Angle Sum Theorem, what does $n$ represent?

a)

The measure of the largest interior angle

b)

The number of sides of the polygon

c)

Nothing

d)

The number of triangles that compose the polygon

90.

The sum of the Exterior Angles of an Irregular Polygon must sum to what degree value?

a)

$360\degree$

b)

$180\degree$

c)

$90\degree$

d)

$98.7\degree$

91.

How many sides would an irregular polygon have if the interior angle sum is $1800\degree$ ?

a)

20 sides

b)

21 sides

c)

12 sides

d)

180 sides

92.

If a five sided irregular polygon has the following known exterior angles measures:
$36\degree$ $124\degree$ $74\degree$ $56\degree$
What is the fifth exterior angle measure?

a)

$70\degree$

b)

$71\degree$

c)

$10\degree$

d)

$0\degree$

93.

Starting at one vertex, what is the maximum number of non-overlapping triangles that can be constructed within a 22-sided irregular polygon?

a)

20

b)

22

c)

1

d)

23

94.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

95.

Find the measure of ONE interior angle of a regular dodecagon.

a)

150

b)

120

c)

1800

d)

20

96.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

97.

A polygon with 5 sides is called a(n) _____________.

a)

pentagon

b)

hexagon

c)

septagon

d)

quadrilateral

98.

A polygon with 8 sides is called a(n) __________________.

a)

octagon

b)

decagon

c)

heptagon

d)

dodecagon

99.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

100.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

HGEO Ch. 7 Quadrilaterals

Total questions: 100

Worksheet time: 3hrs 8mins

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