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Segment and Angle Proofs Practice

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.
Fill in the reason for number 2. 
a)
Definition of congruent angles
b)
Complement Theorem
c)
Congruent Complement theorm
d)
Congruent Supplement Theorem
2.
Fill in the reason for number 5. 
a)
Definition of congruent angles
b)
Angle Addition Postulate
c)
Substitution Property
d)
Transitive Property
3.
Fill in the reason for number 3. 
a)
Angle Addition Postulate
b)
Addition Property
c)
Definition of congruent angles
d)
Given
4.
Fill in the reason for number 3. 
a)
Angle Addition Postulate
b)
Addition Property
c)
Definition of congruent angles
d)
Given
5.
Fill in the reason for number 5. 
a)
Addition Property
b)
Substitution
c)
Subtraction Property
d)
Transitiive
6.
Fill in the statement for number 3. 
a)
HA = AY
b)
HA = AP
c)
A is the midpoint of HP
7.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
8.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
9.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
10.
Find the value of x.
a)
52
b)
63
c)
53
d)
58
11.
Find the value of x.
a)
22
b)
28
c)
23
d)
30
12.

Choose the best option to fill in the blank:

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Substitution Property of Equality

d)

Complementary Angles are Congruent

13.

Which Reason best fits the statement?

a)

Vertical Angle Theorem

b)

Definition of Linear Pair

c)

Addition Property

d)

Transitive Property

14.

Which option best fills in the blank in the proof?

a)

Substitution Property

b)

Definition of Linear Pair

c)

Definition of Supplementary Angles

d)

Angle Addition Postulate

15.

Choose the best Reason to fill in the blank in the two-column proof:

a)

Substitution Property

b)

Symmetric Property

c)

Transitive Property

d)

Reflexive Property

16.

Which Reason best fills in the blank?

a)

Definition of parallel lines

b)

Definition of a right angle

c)

Definition of perpendicular lines

d)

All right angles are congruent

17.

Which of the following choices are in the correct order to fill in the proof?

a)

Given; Segment Addition Postulate; Substitution; Definition of midpoint; Addition; Simplify

b)

Given; Definition of midpoint; Addition; Simplify; Segment Addition Postulate; Substitution

c)

Given; Substitution; Addition, Simplify; Definition of midpoint; Segment Addition Postulate

18.

Which of the following Reasons are in the correct order?

a)

Given; Definition of congruence; Transitive Property; Definition of midpoint

b)

Given; Definition of midpoint; Transitive Property; Definition of congruence

c)

Given; Transitive Property; Definition of midpoint; Definition of congruence

19.

Which best fills in the blank on Statement 3 ?

a)

RS + RS = RT

b)

ST + ST = RT

c)

RS + ST = RT

d)

RS = ST

20.

Which option best fills in Statement 6 ?

a)

S is the midpoint of

RT.‾\overline{RT.}

b)

RS = ST

c)

RS = RS

d)

RS + ST = RT

21.

Which of the following below would fill in the Reasons in the proper order?

a)

Given; Definition of bisect; Transitive; Given, Definition of bisect

b)

Given; Transitive; Given; Definition of bisect; Definition of bisect

c)

Given; Definition of bisect; Given; Definition of bisect; Transitive

22.

What is the correct option for Reason 2 ?

a)

Transitive Property of Equality

b)

Transitive Property of Congruence

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

23.

Which option is best to fill in Statement 3 ?

a)

m∠2≅m∠4m\angle2\cong m\angle4

b)

∠2=∠4\angle2=\angle4

c)

m∠2=m∠4m\angle2=m\angle4

d)

m∠6=m∠5m\angle6=m\angle5

24.

Which is correct to fill in Reason 4 ?

a)

Substitution Property of Equality

b)

Definition of bisect

c)

Definition of midpoint

d)

Segment Addition Postulate

25.

Which is correct to fill in Statement 5 ?

a)

LM = NO

b)

LM = LM

c)

LM = MN

26.

Which is correct to fill in Statement 6 ?

a)

MN‾ ≅ NO‾\overline{MN}\ \ \cong\ \overline{NO}

b)

LM‾ ≅ MN‾\overline{LM}\ \ \cong\ \overline{MN}

c)

LM‾ ≅ LM‾\overline{LM}\ \ \cong\ \ \overline{LM}

d)

LM ‾ ≅ NO‾\overline{LM\ }\ \ \cong\ \ \overline{NO}

27.

What Reason is correct to fill in Reason 5 ?

a)

Congruent Complements Theorem

b)

Congruent Supplements Theorem

c)

Definition of Complementary

d)

Definition of Congruence

28.

Which fills in Reason 5 ?

a)

Linear Pair Theorem

b)

Vertical Angle Theorem

c)

Definition of Angle Bisector

d)

Symmetric Property of Congruence

29.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

30.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
31.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
32.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

33.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

34.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

35.

Which property is being used above?

a)

Addition Property

b)

Multiplication Property

c)

Subtraction Property

d)

Division Property

36.
If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.
a)
Definition of Supplementary Angles
b)
Angle Addition Postulate
c)
Vertical Angles Theorem
d)
Definition of Complementary Angles
37.

What is reason 4?

a)
b)
c)
d)
38.

What is reason 3?

a)
b)
c)
d)
39.

What is reason 4?

a)
b)
c)
d)
40.

What kind of angles are ∠1 and ∠2\angle1\ and\ \angle2 ?

a)

Exterior angles

b)

Vertical angles

c)

A Linear Pair

d)

Corresponding angles

e)

Alternate Interior angles

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