Free Printable Rhombi and Squares

1.

A rectangle is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

2.

The diagonals of a rhombus...

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

3.

The diagonals of a rectangle are

a)

Congruent

b)

Parallel

c)

Perpendicular

d)

Skew

4.

All sides are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

5.

90 degree angles. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

6.

Diagonals are perpendicular to each other. (Select all that apply).

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

7.

Opposite sides are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

8.

Diagonals bisect each other. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

9.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

10.

Figure B is a...

a)

Rectangle

b)

Square

c)

Rhombus

11.

Figure C is a...

a)

Rectangle

b)

Square

c)

Rhombus

12.

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

a)

2

b)

12

c)

13

d)

28

13.

Given: Quadrilateral ABCD is a rhombus.

If m∠ABD = 60, find m∠BDC

(a)

14.

Given: Quadrilateral ABCD is a rhombus.

Find m∠CEB.

(a)

15.

Given: Quadrilateral ABCD is a rhombus.

If AE = 8, find AC.

(a)

16.

Given: Quadrilateral ABCD is a rhombus.

If AB = 26 and BD = 20, find AE

(a)

17.

What's the difference between a square and a rhombus?

4 lines

18.

A square and a rhombus both have...

Mark all that apply

a)

All angles are congruent

b)

All sides are congruent

c)

Diagonals bisect each other

d)

Diagonals form perpendicular lines

e)

Diagonals are congruent to each other

19.

Charles cuts a rhombus along both diagonals. He ends up with four congruent triangles. Classify these triangles as acute, obtuse, or right.

a)

acute

b)

obtuse

c)

right

d)

none of these

e)

all of these...it depends on what kind of rhombus he started with.

20.

Given rhombus MNPQ

Find m∠M.

(a)

21.

Given rhombus MNPQ

Find m∠Q.

(a)

22.

How confident do you feel about knowing how to solve questions involving:

rectangles, rhombi and squares?

a)

Great! This is a piece of cake, Captain

b)

I'm ok about most of it, Captain

c)

I think I got some of it, but others are a blur.

I'll try my best, Captain

d)

Sorry... I'm completely lost.

I'm not even sure what a square is anymore!

e)

Other:

None of these reflect how I feel.

(If that is so, and you want to tell me, email me!)

23.

All sides are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

24.

90 degree angles. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

25.

Diagonals bisect each other. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

26.

Diagonal bisect the angles. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

27.

Opposite sides are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

28.

Consecutive angles are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

29.

Consecutive angles are supplementary. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

30.

The diagonals of a rhombus...

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

31.

Diagonals bisect the angles of a Square

a)

True

b)

False

32.

a)

90

b)

45

c)

30

d)

180

33.

A square is a rectangle.

a)

Sometimes

b)

Always

c)

Never

34.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

35.

Figure C is a...

a)

Rectangle

b)

Square

c)

Rhombus

36.

ABCD is a rhombus.

Find m∠DAB if m∠ABC = 126.

a)

m∠CDB = 126

b)

m∠CDB = 63

c)

m∠CDB = 54

d)

m∠CDB = 27

37.

ABCD is a rhombus.

If BF=8 and AC=22, what is the length of BD?

a)

8

b)

16

c)

11

d)

22

38.

This shape is a rhombus.

What would both angles 2 and 3 measure?

a)

38

b)

52

c)

76

d)

90

39.

This shape is a rhombus.

What would both angles 1 and 4 measure?

a)

38

b)

52

c)

76

d)

90

40.

In rhombus DEFG, find DF.

(a)

41.

In rhombus DEFG, find EF.

(a)

42.

In rhombus DEFG, find $m\angle DFG$ .

(a)

43.

In rhombus DEFG, find EG.

Round to the nearest tenth.

(a)

44.

In square WXYZ, find

$m\angle YPZ$

(a)

45.

In square WXYZ, find

$m\angle XWP$

(a)

46.

In square WXYZ, find XZ

(a)

47.

In square WXYZ, find XY.

Round to the nearest tenth.

(a)

48.

Jordan wants to buy a puppy pen with at least 36 square feet of area and at least 10 feet of diagonal. Should Jordan buy this pen?

a)

Yes, it meets the criteria.

b)

No - the area is not at least 36 square feet.

c)

No - the diagonal is not at least 10 feet.

49.

In rhombus ABCD, if DB = 2x - 4 and PB = 2x - 9, find PD.

(a)

50.

In rhombus ABCD, if $m\angle ABC\ =\ 2x-7$ and $m\angle BCD=2x+3$ , find $m\angle DAB$ .

(a)

51.

The quadrilateral is a rhombus, if UV=8 and WX=5, what is TU?

(a)

52.

The quadrilateral is a rhombus, if UV=8 and WX=5, what is WU?

(a)

53.

The quadrilateral is a rhombus, if UV=8 and WX=5, what is TX?

(round to the nearest tenth)

(a)

54.

The quadrilateral is a rhombus, if UV=8 and WX=5, what is TV?

(round to the nearest tenth)

(a)

55.

The quadrilateral is a rhombus, if BC=28 and BD=32, find CD?

(a)

56.

The quadrilateral is a rhombus, if BC=28 and BD=32, find FD?

(a)

57.

The quadrilateral is a rhombus, if BC=28 and BD=32, find EF?

(a)

58.

The quadrilateral is a rhombus, if BC=28 and BD=32, find EC?

(a)

59.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find NK.

(a)

60.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find NL.

(a)

61.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find ML.

(round to the nearest tenth)

(a)

62.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find JM.

(round to the nearest tenth)

(a)

63.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find the measure of angle KNL.

(a)

64.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find the measure of angle KJL.

(a)

65.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find the measure of angle MLK.

(a)

66.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find the measure of angle JKM.

(a)

67.

The quadrilateral is a rhombus, if MK=24, JL=20, and measure of angle MJL=50 degrees, find the measure of angle JML.

(a)

68.

The quadrilateral is a rhombus, Find PQ.

(a)

69.

The quadrilateral is a rhombus, Find the measure of angle HGI.

(a)

70.

The quadrilateral is a rhombus, Find the measure of angle ADB.

(a)

71.

The quadrilateral is a rhombus, If the measure of angle XYZ = 136, solve for x.

(a)

72.

The quadrilateral is a rhombus, If DE = 16x-3 , EF = 9x+11 , and DF = 52, find HG.

(round to the nearest tenth)

(a)

73.

The quadrilateral is a square, find VU.

(a)

74.

The quadrilateral is a square, find SU.

(round to the nearest tenth)

(a)

75.

The quadrilateral is a square, find TV.

(round to the nearest tenth)

(a)

76.

The quadrilateral is a square, find SW.

(round to the nearest tenth)

(a)

77.

The quadrilateral is a square, find OM.

(a)

78.

The quadrilateral is a square, find OP.

(a)

79.

The quadrilateral is a square, find ON.

(round to the nearest tenth)

(a)

80.

The quadrilateral is a square, find MN.

(round to the nearest tenth)

(a)

81.

The quadrilateral is a square, find the measure of angle EFG.

(a)

82.

The quadrilateral is a square, find the measure of angle GDH.

(a)

83.

The quadrilateral is a square, find the measure of angle FEG.

(a)

84.

The quadrilateral is a square, find the measure of angle DHG.

(a)

85.

The quadrilateral is a square, solve for x.

(a)

86.

Which quadrilaterals always have diagonals congruent?

a)

parallelograms

b)

rectangles

c)

rhombi

d)

squares

87.

Which quadrilaterals always have consecutive angles that are supplementary?

a)

parallelograms

b)

rectangles

c)

rhombi

d)

squares

88.

Which quadrilaterals always have diagonals that are perpendicular?

a)

parallelograms

b)

rectangles

c)

rhombi

d)

squares

89.

Which quadrilaterals always have diagonals that bisect each other?

a)

parallelograms

b)

rectangles

c)

rhombi

d)

squares

90.

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.

a)

39

b)

4

c)

4.8

d)

-4

91.

Which conclusion can be drawn?

a)

All quadrilaterals are parallelograms, but all parallelograms are not quadrilaterals.

b)

All parallelograms are rhombi, but all rhombi are not parallelograms.

c)

All squares are parallelograms, but all parallelograms are not squares.

d)

All parallelograms are rectangles, but all rectangles are not parallelograms.

92.

Which statement is true?

a)

All quadrilaterals are parallelograms because they have four sides.

b)

All squares are parallelograms because they have 2 pairs of parallel sides.

c)

All trapezoids are parallelograms because they have 1 pair of parallel sides.

d)

All polygons are parallelograms because they have straight lines and closed sides.

93.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

94.

A rhombus has these characteristics:

-opposite sides are parallel

-all four sides are the same length

Based on this information, which statement must be true?

a)

Every square must have these same characteristics

b)

Every rectangle must have these same characteristics

c)

Every quadrilateral must have these same characteristics

d)

Every parallelogram must have these same characteristics

95.

a)

90

b)

45

c)

30

d)

180

96.

ABCD is a rhombus. If AB= 4x+3 and BC= 9x-27, what is the value of x?

a)

15.69

b)

4.8

c)

6

d)

20

97.

a)

90

b)

23

c)

22

d)

180

98.

Find AB

a)

11

b)

15.6

c)

7.8

d)

5.5

99.

What is PN?

a)

23

b)

46

c)

35.5

100.

a)

x=11

b)

x=18.5

c)

x=6

d)

x=45

101.

(Hint: Plug in x)

a)

82

b)

41

c)

17

d)

90

102.

Find the value of GF.

a)

2

b)

29

c)

58

d)

90

103.

(Hint: Plug in x)

a)

112

b)

56

c)

11

d)

90

104.

a)

4

b)

6

c)

3

d)

44

105.

a)

29

b)

2

c)

12.8

d)

27.4

106.

LMNO is a Square. Find LM.

a)

23

b)

46

c)

32.5

d)

24.8

107.

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

108.

Diagonals are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

109.

Diagonals are perpendicular to each other. (Select all that apply).

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

110.

Opposite angles are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

111.

Consecutive angles are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

112.

Consecutive angles are supplementary. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

113.

Diagonals are perpendicular to each other. (Select all that apply).

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

114.

Diagonals are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

115.

Diagonal bisect the angles. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

116.

Find the measure of angle 1

a)

54

b)

108

c)

72

d)

36

117.

Figure C is a...

a)

Rectangle

b)

Square

c)

Rhombus

118.

Classify the quadrilateral in as many ways as possible.

a)

quadrilateral, parallelogram

b)

rectangle

c)

quadrilateral,parallelogram, rectangle

d)

quadrilateral,parallelogram, rectangle, square

119.

a)

90

b)

45

c)

30

d)

180

120.

What is PN?

a)

23

b)

46

c)

35.5

121.

Find the measure of angle 1

a)

54

b)

108

c)

72

d)

36

122.

Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?

a)

Trapezoid

b)

Triangle

c)

Square

d)

Hexagon

123.

a)

90

b)

23

c)

22

d)

180

124.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

125.

ABCD is a rhombus
What is the measurement of angle AED?

a)

60

b)

45

c)

90

d)

180

126.

Classify this quadrilateral in as many ways as possible.

a)

quadrilateral, parallelogram, rhombus, square

b)

quadrilateral, parallelogram

c)

quadrilateral, rhombus

d)

quadrilateral, parallelogram, rhombus

127.

a)

1.75

b)

11

c)

2

d)

15

128.

All sides are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

129.

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.

a)

39

b)

4

c)

4.8

d)

-4

130.

Which quadrilateral does not have diagonals that are perpendicular?

a)

Rectangle

b)

Rhombus

c)

Square

d)

Kite

131.

A square is a rectangle.

a)

Sometimes

b)

Always

c)

Never

132.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Diagonals are perpendicular to each other

b)

Diagonals are congruent to each other

c)

Diagonals are bsiect each other

d)

Adjacent sides are perpendicular

133.

Consecutive angles are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

134.

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

a)

2

b)

12

c)

13

d)

28

135.

3 angles of a quadrilateral are 110, 120 and 50. What is the measure of the 4th angle?

a)

60

b)

70

c)

80

d)

130

136.

Classify this quadrilateral in as many ways as possible.

a)

quadrilateral, parallelogram

b)

quadrilateral, rhombus, paralleogram

c)

quadrilateral, paralellogram, rectangle

d)

quadrilateral, parallelogram, trapezoid

137.

Each diagonal of a rectangle bisects the opposite angles of the rectangle.

a)

True

b)

False

138.

Opposite angles are congruent. (Select all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

139.

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

a)

10

b)

11

c)

7

d)

5

140.

Which property is shown in the parallelogram that makes it a rectangle?

a)

Diagonals are perpendicular

b)

Adjacent sides are perpendicular

c)

Diagonals bisect each other

d)

Opposite angles are congruent

141.

a)

90

b)

23

c)

22

d)

180

142.

This polygon is a square. What is the angle of ZWX?

a)

90

b)

190

c)

45

d)

30

143.

True/False: All squares are rectangles.

a)

True

b)

False

144.

True/False: All rhombi are squares.

a)

True

b)

False

145.

Given rhombi $JKLM,$ find $m\angle7.$

a)

$40\degree$

b)

$50\degree$

c)

$130\degree$

d)

$90\degree$

146.

Given rhombi $JKLM,$ find $m\angle8.$

a)

$40\degree$

b)

$50\degree$

c)

$130\degree$

d)

$90\degree$

e)

$80\degree$

147.

Given rhombi $JKLM,$ find $m\angle1.$

a)

$40\degree$

b)

$50\degree$

c)

$130\degree$

d)

$90\degree$

e)

$80\degree$

148.

Given the rhombi, find $TU.$

a)

$TU=10$

b)

$TU=6.2$

c)

$TU=8$

d)

$TU=12.4$

149.

Given the rhombi, find $WU.$

a)

$WU=10$

b)

$WU=6.2$

c)

$WU=8$

d)

$WU=12.4$

150.

Given the rhombi, find $TV.$

a)

$TV=10$

b)

$TV=6.2$

c)

$TV=8$

d)

$TV=12.4$

151.

Given rhombi $BCDE,$ find $BF.$

a)

$BF=28$

b)

$BF=16$

c)

$BF=23$

d)

$BF=32$

152.

Given the rhombi, find $PQ.$

a)

12

b)

24

c)

76

d)

38

153.

Given rhombi $ABCD,$ find $m\angle BCD.$

a)

$10\degree$

b)

$90\degree$

c)

$98\degree$

d)

$56\degree$

154.

Given the square, find $SU.$

a)

10.6

b)

15

c)

30

d)

21.2

155.

Given square $DEFG,$ find $m\angle6.$

a)

$30\degree$

b)

$45\degree$

c)

$90\degree$

d)

$60\degree$

156.

Given square $DEFG,$ find $m\angle DGF.$

a)

$30\degree$

b)

$45\degree$

c)

$90\degree$

d)

$60\degree$

157.

Given the square, solve for $x.$

a)

11

b)

18.5

c)

13

d)

15

158.

Which quadrilaterals always have diagonals that are congruent? (multi-select)

a)

Parallelograms

b)

Rectangles

c)

Rhombi

d)

Squares

159.

Which quadrilaterals always have diagonals that are perpendicular? (multi-select)

a)

Parallelograms

b)

Rectangles

c)

Rhombi

d)

Squares

160.

Which quadrilaterals always have consecutive angles that are supplementary? (multi-select)

a)

Parallelograms

b)

Rectangles

c)

Rhombi

d)

Squares

Rhombi and Squares

Total questions: 160

Worksheet time: 4hrs 23mins

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