Free Printable Geometry Basics & Addition Postulates Practice

1.

A _____ is a specific location. It has no dimension width or height.

a)

Plane

b)

Line Segment

c)

Point

d)

Ray

2.

A ______ is a connected straight path. It has no thickness, and it continues forever in both directions.

a)

Ray

b)

Line Segment

c)

Line

d)

Plane

3.

A _____ is a portion of a line that has one endpoint & continues forever in one direction.

a)

Ray

b)

Line Segment

c)

Line

d)

Plane

4.

A _____ is a flat surface that extends infinitely in two dimensions.

a)

Ray

b)

Line Segment

c)

Line

d)

Plane

5.

Find the value of TU

a)

-12

b)

32

c)

12

d)

20

6.

Solve for x.

(Enter a NUMERIC answer only.)

(a)

7.

What is the correct postulate for the figure?

a)

AM + MB = AMB

b)

AB + AM = MB

c)

AM + MB = AB

d)

AM = MB

8.

What is the length of PR?

(a)

9.

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

10.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

11.

Find m∠A.

a)

25°

b)

30°

c)

35°

d)

90°

12.

If m∠ABC = 103° find x.

(a)

13.

What is the definition of BISECT ?

a)

To cut something into two pieces.

b)

To get x by itself.

c)

To cut something into thirds.

d)

To cut something into two congruent pieces.

14.

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

a)

Midpoint

b)

Coplanear

c)

Segment Bisector

d)

Collinear

15.

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 4x + 1.

Find the length of PR.

(a)

16.

If m∠BCF = (2x + 12)°, m∠FCD = 33°,

and m∠BCD = 95°, find m∠BCF.

(a)

17.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

18.

What is reason 5?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Prove

19.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

20.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

21.

What is the justification?

a)

Definition of an Angle Bisector

b)

Complementary Angles Theorem

c)

Definition of a Right Angle

d)

Angle Addition Postulate

22.

What is the justification?

a)

Angle Addition Postulate

b)

Angle Bisector Definition

c)

Addition Property of Equality

d)

Supplement Theorem

23.

Identify the property of equality used & the solution.

a)

addition: 26

b)

addition: 2

c)

subtraction: 26

d)

subtraction: 2

24.

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

a)

Given

b)

Definition of Congruent Angles

c)

Substitution Property

d)

Reflexive Property

25.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

26.

If B is the midpoint of segment AC, then AB = BC.

a)

Definition of Congruent Segments

b)

Definition of Midpoint

c)

Vertical Angles Theorem

d)

Definition of Angle Bisector

27.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Distributive Propery

28.

What does this represent?

a)

slope of angle ABC

b)

angle ABC

c)

measure of angle ABC

d)

measure of arc ABC

29.

What does this symbol mean: ≌

a)

congruent

b)

equal

c)

equal (in Spanish)

d)

almost equal

30.

What is this called...

a)

Ray

b)

Line segment

c)

plain

d)

point

31.

What is this

a)

Ray

b)

point

c)

angle

d)

line segment

32.

what is this called

a)

Line

b)

line segment

c)

ray

d)

point

33.

Choose the correct name for the angle marked $\angle4.$

a)

$\angle K$

b)

$\angle KVJ$

c)

$\angle LVK$

d)

$\angle JKV$

34.

Choose the correct name for the angle marked $\angle5.$

a)

$\angle V$

b)

$\angle JVK$

c)

$\angle IJK$

d)

$\angle IVJ$

35.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

36.

What is the correct definition of an angle?

a)

one single ray

b)

two rays that meet at a single endpoint (vertex)

c)

two lines that never intersect

d)

two rays that go in opposite directions

37.

Another name for

\overrightarrow{DA}

a)

$\overrightarrow{DC}$

b)

$\overrightarrow{CD}$

c)

$\overline{DA}$

d)

$\overrightarrow{AD}$

38.

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

(a)

39.

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

(a)

40.

What is another way to name plane M?

a)

plane DEB

b)

plane BED

c)

plane DEF

d)

plane AEF

41.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

42.

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.

43.

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.

44.

Name a ray opposite of ray DB

a)

ray DA

b)

ray BD

c)

ray DC

d)

ray DE

45.

What are opposite rays?

a)

two rays with the same endpoint which go in opposite directions

b)

two rays that meet at a single endpoint (vertex)

c)

Rays that are named backwards

d)

any two rays that go in opposite directions

Geometry Basics & Addition Postulates Practice

Total questions: 45

Worksheet time: 4hrs 45mins

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