Free Printable Geometry 1

1.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

2.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

3.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

4.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

5.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

6.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

7.

An angle that measures exactly 90°

a)

Acute Angle

b)

Right Angle

c)

Triangle

d)

Straight Angle

8.

Perfectly flat surface that extends forever in all directions.

a)

plane

b)

line

c)

square

d)

point

9.

To construct an equilateral triangle, all you need is a compass and a straightedge.

a)

True

b)

False

10.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

11.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

12.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

13.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

14.

Based on the construction, which conclusion is not always true?

a)

A

b)

B

c)

C

d)

D

15.

This construction forms a __________.

a)

Perpendicular Bisector

b)

Perpendicular Line

c)

A lowercase "t" flipped to the side

d)

Line Segment

16.

Connecting the points where the arcs intersect the circle will finish the construction of what polygon?

a)

isosceles triangle

b)

square

c)

hexagon

d)

rectangle

17.

An angle of

$80\degree$ with the help of a protractor and bisect it. Measure each part of bisected angle.

a)

$40\degree$

b)

$50\degree$

c)

$30\degree$

d)

$60\degree$

18.

In a line segment AB = 5.6 cm and its perpendicular bisector. Measure the length of each part.

a)

2.7 cm

b)

2.8 cm

c)

2.9 cm

d)

2.6 cm

19.

Assume the angle of

$\angle AOY$

a)

$75\degree$

b)

$100\degree$

c)

$90\degree$

d)

$0\degree$

20.

Assume the angle of

$\angle BOY$

a)

$90\degree$

b)

$37.5\degree$

c)

$100\degree$

d)

$180\degree$

21.

Assume the angle of

$\angle YAB$

a)

$135\degree$

b)

$180\degree$

c)

$90\degree$

d)

$85\degree$

22.

Assume the angle of

$\angle AOY$

a)

$180\degree$

b)

$105\degree$

c)

$95\degree$

d)

$90\degree$

23.

Assume the angle of

\angle BAC

a)

$22.5\degree$

b)

$45\degree$

c)

$65\degree$

d)

$85\degree$

24.

In a $\Delta ABC$ in which base AB = 5 cm, $\angle A=30\degree$ and AC - BC = 2.5 cm then AD = AC - BC

a)

Yes

b)

No

c)

May be

25.

A line segment AB = 5.6 cm and draw its perpendicular bisector then measure the length of each part.

a)

2.9 cm

b)

2.8 cm

c)

2.7 cm

d)

2.5 cm

26.

Draw an angle of

$80\degree$ with the help of a protractor and bisect it then measure each part of the bisected angle.

a)

$40\degree$

b)

$45\degree$

c)

$55\degree$

d)

$35\degree$

27.

Construct an equilateral triangle each of whose altitudes measures 5.4 cm then measure each of its sides.

a)

6 cm

b)

7 cm

c)

8 cm

d)

5 cm

28.

If AB = 4 cm, BC = 3 cm and AC = 7 cm then $\Delta ABC\$ is not possible.

a)

Yes

b)

No

c)

May be

29.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

30.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

31.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

32.

a)

A

b)

B

c)

C

d)

D

33.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

34.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

35.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

36.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

37.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle B?

a)

∠E

b)

∠D

c)

∠C

38.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle D?

a)

∠C

b)

∠A

c)

∠E

39.

If Δ ABC ≅ Δ DEF , which side is congruent to AC?

a)

EF

b)

DF

c)

BE

40.

If Δ ABC ≅ Δ DEF , which side is congruent to FE?

a)

BA

b)

CA

c)

CB

41.

If LMNO ≅ WZYX, Which angle is congruent to ∠NOL?

a)

∠WZY

b)

∠YXW

c)

∠XYZ

42.

If LMNO ≅ WZYX, Which angle is congruent to ∠WZY?

a)

∠LMN

b)

∠MNO

c)

∠MOL

43.

If LMNO ≅ WZYX, Which side is congruent to MN?

a)

WZ

b)

WY

c)

ZY

44.

Which of the following is a valid congruence statement for the given image?

a)

ΔDFE ≌ ΔCAB

b)

ΔDFE ≌ ΔACB

c)

ΔDFE ≌ ΔBAC

45.

What is the measure of ∠E

a)

60 degrees

b)

70 degrees

c)

can not be determined

46.

The symbol for congruence is ______

a)

=

b)

≅

c)

≈

d)

⋍

47.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

48.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

49.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

50.

Choose the correct item to make the congruence statement true.

a)

A

b)

B

c)

C

d)

D

51.

Congruent plane figures are figures that have exactly the same size and shape.

a)

true

b)

false

52.

a)

4m

b)

5m

c)

3m

d)

4.5m

53.

a)

A

b)

B

c)

C

d)

D

54.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

3 inches

b)

5 inches

c)

90 inches

d)

4 inches

57.

a)

A

b)

B

c)

C

d)

D

58.

Which is NOT a true statement?

a)

FG ≅ GH

b)

AB ≅ DC

c)

BA ≅ GH

d)

XY ≅ WZ

59.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

60.

Vertical angles are congruent.

a)

True

b)

False

61.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

62.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

63.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

64.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

65.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

66.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

67.

Are the triangles congruent?

a)

Yes

b)

No

68.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

ASA

d)

SSS

69.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

70.

How are the triangles congruent?

a)

HL

b)

SAS

c)

ASA

d)

AAS

71.

How are the triangles congruent?

a)

Not congruent

b)

AAS

c)

SAS

d)

ASA

72.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

ASA

d)

Not congruent

73.

Which property states that ∠A ≅ ∠A?

a)

Distributive Property

b)

Addition Property

c)

Multiplication Property

d)

Reflexive Property

74.

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

a)

Right triangles

b)

congruent hypotenuses

c)

Two pairs of congruent legs

d)

One pair of congruent legs

75.

How are the triangles congruent?

a)

Not congruent

b)

SSS

c)

ASA

d)

SAS

76.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

77.

How are the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

SSS

78.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

79.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

HL

d)

ASA

80.

How are the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

81.

How are the triangles congruent?

a)

SAS

b)

ASA

c)

HL

d)

SSS

82.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

83.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

84.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

85.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

86.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

87.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

88.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

89.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

90.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

91.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

92.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by ASA≅

c)

Yes, by AA≅

d)

Yes, by SAS≅

e)

Not enough information

93.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

94.

Are the triangles congruent?

a)

Yes, by SS≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

95.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by HL≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

96.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by AA≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

97.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠LKN = m∠MNK

b)

m∠NLK = m∠KMN

c)

m∠LNK = m∠MKN

d)

KN = KN

e)

LN = MK

98.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠Q = m∠S

b)

m∠P = m∠R

c)

m∠POQ = m∠ROS

d)

SO = QO

e)

RO = PO

99.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by AAA≅

e)

Not enough information

100.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

101.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

102.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

103.

Are the triangles congruent?

a)

Yes, by SSS≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

104.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by SAS≅

c)

Yes, by HL≅

d)

Yes, by AAS≅

e)

Not enough information

105.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by ASA≅

c)

Yes, by HL≅

d)

Yes, by SAS≅

e)

Not enough information

106.

a)

a

b)

b

c)

c

107.

a)

a

b)

b

c)

c

108.

a)

a

b)

b

c)

c

109.

a)

a

b)

b

c)

c

110.

a)

a

b)

b

c)

c

111.

a)

a

b)

b

c)

c

112.

a)

a

b)

b

c)

c

113.

a)

a

b)

b

c)

c

114.

a)

a

b)

b

c)

c

115.

Which figure will this net make?

a)

Rectangular Prism

b)

Triangular Prism

c)

Triangular Pyramid

d)

Cube

116.

Which figure will this net make?

a)

Rectangular Prism

b)

Triangular Prism

c)

Triangular Pyramid

d)

Cube

117.

Which figure will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

118.

Which figure will this net make?

a)

Triangular Pyramid

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cube

119.

Which net will make a cube?

a)

Net A

b)

Net B

120.

Which net will make square pyramid?

a)

Net A

b)

Net B

121.

Which net will make a square pyramid?

a)

Net A

b)

Net B

c)

Net C

122.

Which net will make a triangular pyramid?

a)

Net A

b)

Net B

c)

Net C

123.

Name the 3-D shape

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

124.

Name the 3-D shape

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

125.

Name the 3-D shape

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

126.

Which of these nets will make a cube?

a)

A

b)

B

c)

C

d)

D

127.

a)

Rectangular Prism

b)

Cube

c)

Triangular Prism

d)

Square

128.

a)

Rectangular Prism

b)

Cube

c)

Rectangular Pyramid

d)

Triangular Prism

129.

What is the name of this 3D solid?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Triangular Proton

d)

Square Base Triangle

130.

What shape is this?

a)

Triangular prism

b)

Triangular pyramid

c)

Rectangular prism

d)

Rectangular pyramid

131.

Which figure will this net make?

a)

Hexagonal Prism

b)

Triangular Prism

c)

Octagonal Prism

d)

Cone

132.

Complete the table. How many faces does a cube have?

a)

6

b)

8

c)

12

d)

I have no idea!

133.

Complete the table. How many edges does a cube have?

a)

6

b)

8

c)

12

d)

I have no idea!

134.

What is a net?

a)

A flattened three-dimensional figure

b)

A two-dimensional shape

c)

The formula for volume

d)

The formula for area

135.

Which one is the correct net of a cube?

a)

A

b)

B

c)

C

d)

D

136.

This is a net of what shape?

a)

Cube

b)

Rectangular Prism

c)

Triangular Prism

d)

Square Pyramid

137.

This is a net of what shape?

a)

Cube

b)

Triangular Prism

c)

Triangular Pyramid

d)

Square Pyramid

138.

Select the correct nets of a triangular prism. Select all that apply.

a)

b)

c)

d)

139.

This is a net of a triangular pyramid.

a)

True

b)

False

140.

How many rectangles are in a triangular prism?

a)

2

b)

3

c)

4

d)

5

141.

What is this shape

a)

rectangular prism

b)

triangular prism

c)

triangular pyramid

d)

rectangular pyramid

142.

What is this shape?

a)

triangular prism

b)

triangular pyramid

c)

rectangular prism

d)

rectangular pyramid

143.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

144.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

145.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

146.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

147.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

148.

Identify the smallest angle of rotation that maps the image to itself.

a)

90°

b)

180°

c)

45°

d)

60°

149.

Identify the smallest angle of rotation that maps the image to itself.

a)

180°

b)

360°

c)

90°

d)

No rotational symmetry

150.

Identify the smallest angle of rotation that maps the image to itself.

a)

72°

b)

180°

c)

144°

d)

45°

151.

What is the order of rotational symmetry for the shape below?

a)

0

b)

1

c)

2

d)

3

152.

What is the order of rotation in the recycling symbol?

a)

1

b)

2

c)

3

d)

1,000

153.

Find the order of rotational symmetry in this shape.

a)

1

b)

2

c)

3

d)

4

154.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

155.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

156.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

157.

What is the angle of rotational symmetry?

a)

360°

b)

180°

c)

120°

d)

90°

158.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

159.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

160.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

161.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

162.

How many lines of symmetry are there on an equilateral triangle?

a)

0

b)

1

c)

2

d)

3

163.

How many lines of symmetry are there on an isosceles triangle?

a)

0

b)

1

c)

2

d)

3

164.

How many lines of symmetry are there on a scalene triangle?

a)

0

b)

1

c)

2

d)

3

165.

How many lines of symmetry are there on a square?

a)

0

b)

1

c)

2

d)

4

166.

How many lines of symmetry are there on a rectangle?

a)

0

b)

1

c)

2

d)

4

167.

How many lines of symmetry are there on a rhombus?

a)

0

b)

1

c)

2

d)

4

168.

How many lines of symmetry are there on a parallelogram?

a)

0

b)

1

c)

2

d)

4

169.

A figure has _______ symmetry when a line (or lines) divide the shape into two equal parts.

a)

Line

b)

Rotational

c)

Point

170.

How many lines of symmetry does the butterfly have?

a)

1

b)

2

c)

3

d)

4

171.

Determine the angle of rotational symmetry for the figure.

a)

None

b)

60°

c)

120°

d)

180°

172.

How many lines of symmetry does the flower have?

a)

2

b)

3

c)

6

d)

9

173.

What is the order of rotational symmetry of the following figure?

a)

1

b)

3

c)

5

d)

7

174.

Which of the following letters does not have line symmetry, but has rotational symmetry:

a)

H

b)

I

c)

Z

d)

X

175.

What is the order and angle of rotation of the flag?

a)

Order 2, 180 degrees

b)

Order 4, 90 degrees

c)

Order 3, 120 degrees

d)

Order 1, 360 degrees

176.

Does the picture have rotational symmetry?

a)

Yes

b)

No

177.

What type of symmetry does this shape have?

a)

Only Rotational

b)

Only Line

c)

Both Rotational and Line

d)

Neither Rotational nor Line

178.

How many lines of Symmetry does this hexagon have?

a)

3

b)

6

c)

9

d)

12

179.

What are the angles of rotation for a square?

a)

multiples of 30

b)

multiples of 45

c)

multiples of 90

d)

multiples of 180

180.

What is one of the angles of rotation needed to rotate this octagon onto itself?

a)

60

b)

135

c)

120

d)

240

181.

Which is NOT an Isometry?

a)

Relection

b)

Dilation

c)

Rotation

d)

Translation

182.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

183.

Identify the smallest angle of rotation that maps the image to itself.

a)

60°

b)

None

c)

51.4°

d)

45°

184.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

185.

Name that shape.

a)

trapezoid

b)

quadrilateral

c)

parallelogram

d)

rhombus

186.

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

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

187.

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

188.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

189.

Solve for the variables.

a)

x=15, y=9

b)

x=9, y=15

190.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

191.

Which statement is true?

a)

A rhombus is never a square.

b)

A rhombus is always a square.

c)

A rhombus is never a rectangle.

d)

A rhombus is always a parallelogram.

192.

The figure is a parallelogram.
Solve for x.

a)

7

b)

1

c)

5

d)

2

193.

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

a)

2

b)

12

c)

13

d)

28

194.

A ___________ is a quadrilateral with two pairs of parallel sides and 4 congruent sides.

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

195.

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

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

196.

A square is a rectangle.

a)

Never

b)

Sometimes

c)

Always

Geometry 1

Total questions: 196

Worksheet time: 4hrs 32mins

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