Free Printable Chapter 1 geometry

1.

How many points do you need to make a line?

a)

1

b)

at least 2

c)

3

d)

4

2.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

3.

A flat surface made up of points that has two dimensions and extends without end.

a)

Point

b)

Plane

c)

Angle

d)

Line

4.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

5.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

6.

How many points do you need to make a line?

a)

1

b)

at least 2

c)

3

d)

4

7.

Name two points collinear to Point K

a)

H & M

b)

J & L

c)

N & J

d)

M & L

8.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

9.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

10.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

11.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

12.

True or False: Points A, B, and C are collinear.

a)

True

b)

False

13.

Which among a point, a line, or a plane does a floor represent?

a)

point

b)

line

c)

plane

14.

a)

plane FBC

b)

plane BAD

c)

plane FEC

d)

plane FKG

15.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 2 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

16.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

17.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

d)

Line NH

18.

Give another name for line k.

a)

Line BC

b)

Line BCF

c)

Line ED

d)

Line k is the only name, there isn't another name.

19.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

20.

How many points do you need to make a line?

a)

1

b)

at least 2

c)

3

d)

4

21.

How many points do you need to make a plane?

a)

1

b)

2

c)

at least 3

d)

0

22.

Using the diagram, name four collinear points.

(a)

23.

Using the image, name a line that contains the points H and K.

(a)

24.

Using the image, name the intersection of lines p and r.

(a)

25.

Using the image, name a plane containing point A.

(a)

26.

Using the image, give an example of three non-collinear points.

(a)

27.

Using the image, give another name for plane Q.

(a)

28.

Based on the image, are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

29.

Name two points collinear to Point K

a)

H & M

b)

J & L

c)

N & J

d)

M & L

30.

Find the distance between (2,3) & (4,1)

a)

3

b)

5.66

c)

2.83

d)

2.79

31.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

32.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

33.

Find the distance between J and K.

a)

√68

b)

√8

c)

9

d)

√53

34.

What is the midpoint between (0, -4)
and (-8, 14)

a)

(4, 5)

b)

(-4, 5)

c)

(-4, -5)

d)

(4, -5)

35.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

36.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

37.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

38.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

39.

a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

40.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

41.

Which cartoon is this ?

a)

Dragon booster

b)

Pokemon

c)

Sponge bob

d)

Mr bean

42.

midpoint of a segment is the point that _______ the segment

into two _________ segments

a)

Distance, Midpoint

b)

Chicken,Nuggets

c)

Equal,Equal

d)

Divides,Congruent

43.

Find the Midpoint between points (5,6) and (-5,-6)

a)

(0,0)

b)

(5,6)

c)

(0,6)

d)

(1,11)

44.

If one Endpoint is (3,9) and the Midpoint is (10,11) What is the other Endpoint?

a)

(17,13)

b)

(16,19)

c)

(13,17)

d)

(-17,-13)

45.

What is the Distance between (2,4) and (3,6) ?

a)

6.3

b)

3.6

c)

4.7

d)

3.8

46.

Find the Midpoint of (-7,10) and (9,15)

a)

(-1,12)

b)

(2,13)

c)

(1,12.5)

d)

(3,15)

47.

If one Endpoint is (-5,4) and the Midpoint is (2,8) What is the other Midpoint?

a)

(9,12)

b)

(-9,12)

c)

(10,11)

d)

(9,10)

48.

The _______ between ___ points

a)

Kung Fu, Panda

b)

Distance,Two

c)

Length,Width

d)

Distance, Three

49.

What is the Distance between (10,12) and (9,12) ?

a)

3.9

b)

7.9

c)

3.6

d)

6.9

50.

What is the midpoint of segment MP?

a)

midpoint does not exist for MP

b)

3.5

c)

3

d)

2.5

51.

What is the midpoint of J(-6, -12) and K(-18, 22).

a)

M (5, -12)

b)

M (-12, 5)

c)

M (-6, 17)

d)

M (17, -6)

52.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

53.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

54.

Find the other endpoint of the line segment with the given endpoint (2, 8) and midpoint (-3, 4).

a)

(-0.5, 6)

b)

(6, -0.5)

c)

(0, -8)

d)

(-8, 0)

55.

Find the distance between the pair of points A(-2, 4) and N(3, -3).

a)

5

b)

8.60

c)

7

d)

9.22

56.

Find the distance between J and K.

a)

√68

b)

√8

c)

9

d)

√53

57.

Find the distance between (-12, 1)
and (12, -1).

a)

√576

b)

√26

c)

2

d)

√580

58.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

59.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

60.

What is the value of x?

a)

x= 8

b)

x= 3

c)

x= 4

d)

x= 12

61.

Find AC

a)

7

b)

8

c)

22

d)

23

62.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

63.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

64.

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.

65.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

66.

If G is the midpoint of segment FH, find FG.

a)

15

b)

30

c)

12

d)

24

67.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

68.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

69.

If R is the midpoint of segment QS, find QS.

a)

4

b)

6

c)

17

d)

34

70.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

BD+BC=BC

d)

BC+BD=CD

71.

Part of a line that has a beginning, but no end is called a...

a)

line segment

b)

ray

c)

angle

d)

plane

72.

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.

73.

Find AC

a)

7

b)

8

c)

22

d)

23

74.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

75.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

76.

If G is the midpoint of segment FH, find FG.

a)

15

b)

30

c)

12

d)

24

77.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

78.

a)

4

b)

5

c)

8

d)

6

79.

a)

8

b)

12

c)

-4

d)

-8

80.

Find the value of x, then find AB, AC, and BC.

a)

AB = 17, BC = 63, AC = 46

b)

AB = 7, BC = 46, AC = 63

c)

AB = 17, BC = 36, AC = 63

d)

AB = 17, BC = 46, AC = 63

81.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

82.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

83.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

84.

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM.

a)

6

b)

4

c)

70

d)

40

85.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

86.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

87.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

88.

A single angle that measures between 90 and 180 degrees.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Linear Pair

89.

A single angle that measures between 0 and 90 degrees.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Adjacent Angles

90.

Find x.

a)

$-3$

b)

$-6$

c)

$-8$

d)

$-10$

91.

a)

$4$

b)

$-3$

c)

$-5$

d)

$9$

92.

a)

$-2\degree$

b)

$178\degree$

c)

$10\degree$

d)

$152\degree$

93.

a)

$85\degree$

b)

$131\degree$

c)

$90\degree$

d)

$149\degree$

94.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

95.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=5\left(x-6\right)$ and $m\angle DBC=2x+9$ . Find $m\angle DBC$ .

a)

$35\degree$

b)

$27\degree$

c)

$11\degree$

d)

$15\degree$

96.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=3x+5$ and $m\angle ABC=2x+30$ . Find $m\angle DBC$ .

a)

$15\degree$

b)

$35\degree$

c)

$5\degree$

d)

$20\degree$

97.

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, -3). What is the perimeter of the square?

a)

$2\sqrt{10}$

b)

$4\sqrt{10}$

c)

$8\ \sqrt[]{10}$

d)

$2\ \sqrt[]{40}$

98.

Find the area.

$B\left(6,1\right)$ , $C\left(7,-7\right)$ , $D\left(-5,-7\right)$

a)

52

b)

44

c)

4

d)

96

99.

What does perimeter mean?

a)

the amount of space inside a shape

b)

the distance around the shape

c)

the amount of space inside a shape divided by two

d)

half the distance around a shape

100.

Find the perimeter of the polygon shown.

a)

8

b)

12

c)

16

d)

20

101.

Find the perimeter of this triangle.

a)

150 ft

b)

100 ft

c)

20 ft

d)

35 ft

102.

What is the perimeter of the triangle? (Round to the nearest tenth)

a)

12

b)

about 13.2

c)

21

d)

about 12.6

103.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

104.

What does area mean?

a)

the distance around a shape

b)

half the distance around a shape

c)

the amount of space outside a shape

d)

the amount of space inside a shape

105.

Find the area of the polygon shown.

a)

8

b)

12

c)

16

d)

20

106.

What is the area of the rectangle?

a)

28 units squared

b)

45 units squared

c)

33 units squared

d)

19 units squared

107.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

108.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

109.

The area of a rectangle is 36 square meters. If the length of the rectangle is 3, what is the width?

a)

108

b)

12

c)

9

d)

15

110.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

111.

Find the distance between "Home" and the "Library".

a)

$\sqrt{41}$

b)

$\sqrt{18}$

c)

$9$

d)

$3$

112.

Find the measure of BC.

a)

4√17

b)

√272

c)

4

d)

12

113.

Is this a polygon?

a)

Yes

b)

No

114.

Name this polygon.

a)

Pentagon

b)

Hexagon

c)

Heptagon

d)

Octagon

115.

Name this polygon.

a)

Quadrilateral, rhombus

b)

Quadrilateral, square

c)

Parallelogram

d)

Cube

116.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

117.

Convex or Concave?

a)

Convex

b)

Concave

118.

Convex or Concave?

a)

convex

b)

concave

119.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

120.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

121.

What is the measure of the missing angle?

a)

39

b)

129

c)

119

d)

129

122.

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

a)

135

b)

45

c)

125

d)

90

123.

What is the measure of the missing angle?

a)

76

b)

86

c)

166

d)

156

124.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

125.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

126.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

127.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

128.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

129.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

130.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

131.

What kind of angles are shown?(45 + 135 = 180)

a)

complementary

b)

supplementary

c)

adjacent

d)

linear pair

132.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

133.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

134.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

135.

Find the length of segment BC

a)

4

b)

-4

c)

5

d)

-5

136.

Find the length of segment BD

a)

8

b)

-4

c)

-8

d)

4

137.

Find the length of segment AB

a)

1

b)

-1

c)

0

d)

-4

138.

Find the length of segment AD

a)

-1

b)

1

c)

-9

d)

9

139.

Find the length of segment AF

a)

5

b)

-5

c)

4

d)

3

140.

Find the length of segment BH

a)

6

b)

5

c)

3

d)

7

141.

a)

$\Delta$ ABC &

$\Delta$ QRP

b)

$\Delta$ QRP &

$\Delta$ XYZ

c)

$\Delta$ FDG &

$\Delta$ XYZ

d)

$\Delta$ ABC &

$\Delta$ FDG

142.

a)

4m

b)

5m

c)

3m

d)

4.5m

143.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

3

b)

4

c)

5

d)

38

144.

The two triangles are congruent.

Find the value of d.

(Diagrams are not to scale.)

a)

3

b)

4

c)

5

d)

38

145.

Flip to workbook p24 Q5 NOW.

Click yes when you are ready.

a)

Yes

b)

No

146.

Find the length of BC with units.

Write your answer in your workbook too.

(a)

147.

Find the angle EFG.

Write your answer in your workbook too.

(a)

148.

Flip to workbook p25 Q9 NOW.

Click yes when you are ready.

a)

Yes

b)

No

149.

Find the value of x. (no unit as they said value)

Write your answer in your workbook too.

(a)

150.

Find the value of y. (no unit as they said value)

Write your answer in your workbook too.

(a)

Chapter 1 geometry

Total questions: 150

Worksheet time: 4hrs 11mins

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