Free Printable Unit 1: Geometry Basics

1.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

2.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

3.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

4.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

M, E

d)

F, B

5.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

6.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

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

7.

Where does plane A and plane QRV intersect?

a)

Pt Q

b)

Pt N

c)

Line QR

d)

Line VR

8.

How many planes are present?

a)

4

b)

5

c)

6

d)

7

9.

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

a)

11

b)

12

c)

8

d)

5

10.

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

11.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

12.

Find measurement for QS.

a)

7

b)

4

c)

3

d)

1

13.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

14.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

15.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

16.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

17.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

18.

$\angle ECD=122\degree$ and $\angle BCE=36\degree$ . Find the measure of $\angle BCD$ .

a)

$\angle BCD=158\degree$

b)

$\angle BCD=86\degree$

c)

$\angle BCD=58\degree$

d)

$\angle BCD=144\degree$

19.

$\angle JKU=3x-9,\ \angle UKL=138\degree$ and $\angle JKL=15x-3$ . Solve for x.

a)

x = 49

b)

x = 9.4

c)

x = 11

d)

x = 8.3

20.

Solve

a)

x = 5

b)

x = 11

c)

x = 33

d)

x = 55

21.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

22.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

23.

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

24.

An angle that measures less than 90°

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

25.

Solve for x

a)

6

b)

140

c)

20

d)

90

26.

What is the measure of angle ZAX?

a)

130^o

b)

50^o

c)

40^o

d)

90⁰

27.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

28.

$\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

29.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

30.

$What\ is\ the\ measure\ of\ \angle\ QTR?$

a)

27.6°

b)

87.8°

c)

62.2°

d)

105.8°

31.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

32.

Name the vertical angle to
∠h.

a)

∠f

b)

∠i

c)

∠g

d)

∠j

33.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

34.

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.

35.

Name the intersection of planes M and L.

a)

line AB

b)

D

c)

line CE

d)

A

36.

$\angle GMP$ is what type of angle?

a)

acute

b)

right

c)

obtuse

d)

straight

37.

Pick the correct statements.

a)

$\angle1\ and\ \angle3$ are vertical angles.

b)

$\angle1\ and\ \angle5\$ are complementary angles.

c)

$\angle1,\ \angle5,\ and\ \angle4$ are supplementary angles.

d)

$\angle4\ and\ \angle5$ are complementary angles.

e)

$\angle2\ and\ \angle3\$ are supplementary angles.

38.

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

a)

7

b)

3

c)

5

39.

a)

11

b)

23

c)

67

d)

19

40.

<ABC is bisected by ray BD. Find the value of x.

a)

x = 76

b)

x = 75

c)

x = 73

d)

x = 25

Unit 1: Geometry Basics

Total questions: 40

Worksheet time: 2hrs 36mins

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