Free Printable Geometry Basics

1.

What is it called when points lie on the same line.

a)

Midpoint

b)

Coplanear

c)

Segment Bisector

d)

Collinear

2.

A location in space that is represented by a dot and has no dimensions

a)

Point

b)

Line

c)

Plane

d)

Angle

3.

What are the arrows pointing to?

a)

Ray

b)

Endpoints

c)

Midpoint

d)

Vertex

4.

Consists of 2 endpoints and all the points in between.

a)

Ray

b)

Line

c)

Line Segment

d)

Angle

5.

What is this Symbol called?

a)

Congruent

b)

Equal

c)

Parallel Lines

d)

Angle

6.

Points that lie in the same plane.

a)

Colinear

b)

Intersection

c)

Parallel Planes

d)

Coplanar

7.

Having the same size and shape, (check all that apply)

a)

Congruent

b)

≅

c)

=

d)

Similarity

8.

a straight path that has no thickness and extends forever

a)

point

b)

line

c)

ray

d)

plane

9.

Two rays that have a common endpoint and form a line.

a)

Linear Pair

b)

Opposite Rays

c)

Right Angle

d)

Supplementary Angles

10.

flat surface that has no thickness and extends forever.

a)

point

b)

line

c)

plane

d)

ray

11.

part of a line that starts at an endpoint and extends forever in one direction

a)

line

b)

segment

c)

ray

d)

vertex

12.

A basic figure that is not defined in terms of other figures. (Check all that apply)

a)

Undefined term

b)

Point

c)

Line

d)

Ray

13.

This is a(n):

a)

Line

b)

Ray

c)

Angle

d)

Line Segment

14.

This is a(n):

a)

Line

b)

Ray

c)

Angle

d)

Line Segment

15.

This is a(n):

a)

Line

b)

Ray

c)

Angle

d)

Line Segment

16.

Which of the following is named by a lower case letter?

a)

point

b)

line

c)

segment

d)

ray

e)

plane

17.

Which of the following is named by a single Upper case letter?

a)

point

b)

line

c)

segment

d)

ray

e)

plane

18.

How many noncollinear points are needed to name a plane?

a)

3

b)

1

c)

2

d)

4

19.

Find AC

a)

7

b)

8

c)

22

d)

23

20.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

21.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

22.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

23.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

24.

If UW=6x-35, find UW.

a)

17

b)

34

c)

67

d)

26

25.

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

a)

4

b)

5

c)

6

d)

7

26.

Find DE

a)

5

b)

6

c)

20

d)

21

27.

If GH = 8 and HI = 17, Find GI

a)

8

b)

9

c)

24

d)

25

28.

If JK = 7 and
LJ = 20, find KL

a)

12

b)

13

c)

27

d)

28

29.

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

30.

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

a)

5

b)

6

c)

7

d)

8

31.

Find HG.

a)

8

b)

9

c)

10

d)

11

32.

Let B be between A and C.

a)

28

b)

4

c)

16

d)

12

33.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

34.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

35.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

36.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

37.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

38.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

39.

Find the distance between (-3, -11) and (8, -42).

a)

32.1

b)

32.3

c)

32.7

d)

32.9

40.

AB = 5 on the coordinate plane shown. If B(2,1), which point could NOT be another location of A?

a)

(-1,5)

b)

(6,4)

c)

(-2,-2)

d)

(4,-3)

e)

(-3,1)

41.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

42.

The distance formula is another way to write which of the following?

a)

quadratic formula

b)

slope formula

c)

Pythagorean theorem

d)

none of these answers

43.

Find the midpoint: (-1,9), (7,-1)

a)

(4,5)

b)

(4,3)

c)

(3,4)

d)

(5,4)

44.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

45.

Find the midpoint: $\left(2,-7\right),\left(10,1\right)$

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

46.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

47.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

48.

What is the center of MN given M(3, -1) and N(7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

49.

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

a)

b)

c)

d)

50.

Find the midpoint: (-8,6), (5,-7)

a)

$\left(-\frac{\text{3}}{2},-\frac{1}{2}\right)$

b)

$\left(\frac{3}{2},\frac{1}{2}\right)$

c)

$\left(7.5,7.5\right)$

d)

$\left(-2,-1\right)$

51.

Find the midpoint: $(7,-7),(-3,-4)$

a)

$\left(2,-\frac{11}{2}\right)$

b)

$\left(5,-\frac{3}{2}\right)$

c)

$\left(-\frac{11}{2},-2\right)$

d)

$\left(-\frac{3}{2},5\right)$

52.

Find the midpoint: $(9,1),(8,-4)$

a)

$\left(\frac{9}{2},\frac{5}{2}\right)$

b)

$\left(\frac{5}{2},\frac{9}{2}\right)$

c)

$\left(\frac{17}{2},-\frac{3}{2}\right)$

d)

$\left(-\frac{5}{2},\frac{17}{2}\right)$

53.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(-4, 2), M(8, 7)

a)

(20, 12)

b)

(-1, 7.5)

c)

(-6, -2.5)

d)

(1.5, -5.5)

54.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(10, -3), M(4, 3)

a)

(3, -3)

b)

(-7.5, 7.5)

c)

(-2, 9)

d)

(3.5, 3.5)

55.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(2, 7), M(-3, 10)

a)

(4.5, 3.5)

b)

(-8, 13)

c)

(4, -2.5)

d)

(2.5, -1.5)

56.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)

b)

c)

d)

57.

Directed line segment MN partitioned into a ratio of 1:2 is the same as directed line segment NM partitioned into a ratio of 2:1.

a)

True

b)

False

58.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

59.

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

a)

(12, 1.6)

b)

(-1, 7.6)

c)

(-1, 6.6)

d)

(13, 1.6)

60.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

61.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

62.

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°

63.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

64.

What is the value of x?

(a)

65.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

66.

Two angles that share the same side are called

a)

Adjacent Angles

b)

Right Angles

c)

Vertical Angles

67.

Two angles that are opposite each other formed by the crossing of two lines are called

a)

Adjacent Angles

b)

Right Angles

c)

Vertical Angles

68.

An angle that measures 90 degrees is called a

a)

Complementary Angle

b)

Supplementary Angle

c)

Right Angle

69.

< 1 = ?

(a)

70.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

71.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

72.

Practice 1a: Name a pair of complementary angles

a)

$\angle1\ and\ \angle2$

b)

$\angle3\ and\ \angle2$

c)

$\angle4\ and\ \angle5$

d)

$\angle3\ and\ \angle5$

73.

Practice 1b: Name a pair of vertical angles

a)

$\angle2\ \ and\ \angle4$

b)

$\angle3\ \ and\ \angle2$

c)

$\angle1\ and\ \angle4$

d)

$\angle3\ \ and\ \angle5$

74.

Practice 1c: Name a pair of linear pair angles

a)

$\angle1\ \ and\ \angle4$

b)

$\angle3\ \ and\ \angle2$

c)

$\angle4\ \ and\ \angle5$

d)

$\angle3\ \ and\ \angle5$

75.

Practice 2: What is the supplement of 74.3 degrees?

a)

$105.7\degree$

b)

$180\degree$

c)

$148.6\degree$

d)

$15.7\degree$

76.

Practice 3: check the two angle measurements you chose. Complementary angles should add up to...

(a)

77.

Practice 5a: Linear pair angles are adjacent

a)

sometimes

b)

always

c)

never

78.

Practice 5b:Vertical angles are complementary

a)

sometimes

b)

always

c)

never

79.

Practice 5c : Adjacent angles share a common side and vertex.

a)

sometimes

b)

always

c)

never

80.

Practice 5d : Supplementary angles are adjacent.

a)

sometimes

b)

always

c)

never

81.

Calculate the distance between the points (2,3) and (5,7).

a)

8

b)

7

c)

6

d)

5

82.

Which of the following represents a line segment?

a)

AB

b)

GH

c)

CD

d)

EF

83.

Find the midpoint of the line segment with endpoints (4,2) and (10,6).

a)

(8,5)

b)

(5,3)

c)

(6,4)

d)

(7,4)

Geometry Basics

Total questions: 83

Worksheet time: 7hrs 39mins

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