Free Printable Tools of Geometry (Lessons 1-1 to 1-4)

1.

What is a line segment?

a)

A set of points that goes on forever in both directions

b)

A curved line that goes on in one direction forever

c)

A part of a line between two endpoints

2.

What is a ray?

a)

A straight line that goes on forever in both directions

b)

The part of a line with two endpoints that do not go on forever

c)

A part of a line that starts with an endpoint and goes on forever in the opposite direction

3.

A ________ is described as a location.

a)

point

b)

line

c)

plane

d)

collinear points

4.

A _____ is described as a straight, continuous arrangement of an infinite number of points.

a)

point

b)

line

c)

plane

d)

collinear points

5.

These are points that are all located on the same line.

a)

coplanar lines

b)

points

c)

collinear points

d)

skew lines

6.

Coplanar lines are ___________.

a)

Two or more lines located on the same plane.

b)

Two or more lines located on different planes.

c)

Two or more parallel lines.

d)

Two or more non-parallel lines in different planes.

7.

Part of a line that begins with a single point and extends infinitely in one direction is a _______.

a)

Segment

b)

Line

c)

Plane

d)

Ray

8.

A part of a line that includes two endpoints and all the collinear points in between is a ______________.

a)

Line Segment

b)

Ray Segment

c)

Collinear Points

d)

Line

9.

Congruent line segments _______________.

a)

Are two or more line segments of equal measure.

b)

Are two or more shapes of equal size.

c)

Are line segments on the same line.

d)

Have nothing in common.

10.

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.

11.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

12.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

13.

Find HG.

a)

8

b)

9

c)

10

d)

11

14.

Let B be between A and C.

a)

7

b)

24

c)

13

d)

14

15.

Let B be between A and C.

a)

2

b)

-1

c)

11

d)

15

16.

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 5x + 1.

Find the length of PR.

a)

8

b)

16

c)

41

d)

82

17.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

18.

a)

4

b)

5

c)

8

d)

6

19.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

20.

Given that C is between A & B, which Segment Addition statement is correct?

a)

AC + AB = CB

b)

AC + CB = AB

c)

AB + BC = AC

d)

CA + CB = CA

21.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

22.

Use the figure to write and solve an equation for x.

a)

11

b)

19

c)

33

d)

57

23.

8.Given A is between Y and Z and YA= 10.5, AZ = 4x, and YZ = 42.5, find the length of AZ.

a)

4

b)

8

c)

32

d)

16

24.

12.Find the coordinates of the midpoint of line LB if L(9,6) and B(-5,3)

a)

(4.5, 2)

b)

(2,4.5)

c)

(4,9)

d)

(9,4)

25.

11.Find the distance between P(1,9) and Q(-4,2)

a)

8.06

b)

8.6

c)

6.08

d)

6.8

26.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

27.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

28.

What is the distance between (9, -9) and (9, -8)?

a)

18

b)

1

c)

-1

d)

17

29.

What is the distance between -5 and 3?

a)

8

b)

-2

c)

-8

d)

2

30.

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

a)

b)

c)

d)

31.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

32.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

33.

What is the midpoint of (-5, 3) and (4, -5)

a)

(-0.5, 2)

b)

(-0.5, -1)

c)

(-0.5, 1)

d)

(-.05, -0.5)

34.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

35.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$

and $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

36.

$\overrightarrow{BD}$ 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)

$20\degree$

37.

If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?

a)

19°

b)

38°

c)

62°

d)

76°

38.

a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

39.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

40.

If m∠MKL = 83°, m∠JKL = 127°, and m∠JKM = (9x -- 10)°,

find the value of x.

a)

x = 24°

b)

x = 22°

c)

x = 6°

d)

x = 4°

41.

How many planes are there?

a)

3

b)

4

c)

5

d)

6

42.

What is the intersection of plane EDH and Plante GEF?

a)

Point E

b)

Line EF

c)

Point F

d)

Line GE

43.

Name 3 coplanar points.

a)

B, E, H

b)

D, F, G

c)

C, E, F

d)

K, A, F

44.

Name the angle formed by segment HF and BH

a)

Angle FHB

b)

Angle BF

c)

Angle H

d)

Angle BHFA

45.

What is another name for Plane N

a)

BCEF

b)

ABCD

c)

ABD

d)

CAB

Tools of Geometry (Lessons 1-1 to 1-4)

Total questions: 45

Worksheet time: 2hrs 17mins

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