Free Printable Algebra, Segment and Angle Proofs

1.

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

2.

Which Reason best fits the statement?

a)

Vertical Angle Theorem

b)

Definition of Linear Pair

c)

Addition Property

d)

Transitive Property

3.

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

4.

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

5.

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

6.

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

7.

Which option is best to fill in Statement 3 ?

a)

$m\angle2\cong m\angle4$

b)

$\angle2=\angle4$

c)

$m\angle2=m\angle4$

d)

$m\angle6=m\angle5$

8.

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

9.

Which choice shows the Reasons in the proper order?

a)

Given; Definition of a Right Angle; Angle Addition Postulate; Definition of Complementary; Substitution

b)

Given; Definition of a Right Angle; Substitution; Angle Addition Postulate; Definition of Complementary

c)

Given; Definition of a Right Angle; Angle Addition Postulate; Substitution; Definition of Complementary

10.

Which fills in Reason 5 ?

a)

Linear Pair Theorem

b)

Vertical Angle Theorem

c)

Definition of Angle Bisector

d)

Symmetric Property of Congruence

11.

Which should be Definition of Congruence? Select ALL THAT APPLY.

a)

Reason 6

b)

Reason 7

c)

Reason 8

d)

Reason 9

e)

Reason 10

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

\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)

$m\angle2\cong m\angle4$

b)

$\angle2=\angle4$

c)

$m\angle2=m\angle4$

d)

$m\angle6=m\angle5$

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)

$\overline{MN}\ \ \cong\ \overline{NO}$

b)

$\overline{LM}\ \ \cong\ \overline{MN}$

c)

$\overline{LM}\ \ \cong\ \ \overline{LM}$

d)

$\overline{LM\ }\ \ \cong\ \ \overline{NO}$

27.

Where would the Definition of Complementary go in this proof?

a)

Reason 1

b)

Reason 2

c)

Reason 2 and 3

d)

Reason 2 and 4

28.

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

29.

Which choice shows the Reasons in the proper order?

a)

Given; Definition of a Right Angle; Angle Addition Postulate; Definition of Complementary; Substitution

b)

Given; Definition of a Right Angle; Substitution; Angle Addition Postulate; Definition of Complementary

c)

Given; Definition of a Right Angle; Angle Addition Postulate; Substitution; Definition of Complementary

30.

Which fills in Reason 5 ?

a)

Linear Pair Theorem

b)

Vertical Angle Theorem

c)

Definition of Angle Bisector

d)

Symmetric Property of Congruence

31.

Which should be Definition of Congruence? Select all.

a)

Reason 6

b)

Reason 7

c)

Reason 8

d)

Reason 9

e)

Reason 10

32.

a)

a. Multiplication Property b. Combine Like Terms c. Addition Property

b)

a. Distributive Property b. Combine Like Terms c. Addition Property

c)

a. Distributive Property b. Subtraction Property c. Addition Property

d)

Multiplication Property b. Subtraction Property c. Addition Property

33.

a)

a. Segment Addition Postulate b. Substitution Property c. Simplify

b)

a. Definition of Midpoint b. Substitution Property c. Simplify

c)

a. Segment Addition Postulate b. Symmetric Property c. Simplify

d)

a. Definition of Bisect b. Substitution Property c. Simplify

34.

a)

a. Symmetric Property b. Angle Addition Postulate c. Substitution Property d. Angle Addition Postulate e. Subtraction

b)

a. Reflexive Property b. Addition Property c. Angle Addition Postulate d. Angle Addition Postulate e. Substitution Property

c)

a. Reflexive Property b. Transitive Property c. Angle Addition Postulate d. Angle Addition Postulate e. Substitution Property

35.

a)

a. Definition of Perpendicular b. Definition of Perpendicular c. Transitive Property

b)

a. Definition of Parallel b. Definition of Parallel c. Transitive Property

c)

a. Definition of a Right Angle b. Definition of Complementary c. Substitution Property

d)

a. Definition of Supplementary b. Definition of Perpendicular c. Transitive Property

36.

What is the best REASON 2 ?

a)

Symmetric Property

b)

Reflexive Property

c)

Distributive Property

d)

Transitive Property

37.

Which is the best REASON 1 ?

a)

Given

b)

Definition of Midpoint

c)

Definition of Bisect

d)

Reflexive Property

38.

Which is the best choice for STATEMENT 2 ?

a)

DE = EF

b)

DE = DF

c)

EF = DF

d)

EF=EF

39.

Which is the best choice for REASON 3 ?

a)

Reflexive Property

b)

Transitive Property

c)

Symmetric Property

d)

Addition Property

40.

Which is the best choice for STATEMENT 2 ?

a)

$\angle1\ and\ \angle2\ are\ complementary$

b)

$\angle1\ and\ \angle2\ are\ vertical\ angles$

c)

$\angle1\ and\ \angle2\$ are supplementary

d)

$\angle1\ and\ \angle2\ are\ congruent$

41.

Which is the best choice for REASON 3 ?

a)

Definition of Supplementary

b)

Definition of Complementary

c)

Definition of Congruence

d)

Definition of Convex

42.

Choose a Conclusion and a Justification that fit the Given. (It helps to draw a diagram)

a)

E is half of BD

b)

BE = DE

c)

Definition of Segment Bisector

d)

Definition of Midpoint

43.

Choose a Conclusion and a Justification that fit the Given.

a)

Angles 5 and 6 are complementary

b)

Angles 5 and 6 are congruent

c)

Angles 5 and 6 are supplementary

d)

Vertical Angle Theorem

e)

Linear Pair Postulate

44.

Choose a Conclusion and a Justification that fit the Given.

a)

Angles 8 and 9 are congruent

b)

Angles 8 and 9 are complementary

c)

Angles 8 and 9 are supplementary

d)

Congruent Supplements Theorem

e)

Vertical Angle Theorem

45.

Choose a Conclusion and a Justification that fit the Given.

a)

$m\angle5=m\angle7$

b)

$m\angle5+m\angle7=90$

c)

$m\angle5+m\angle7=180$

d)

Definition of Angle Bisector

e)

Definition of Complementary

Algebra, Segment and Angle Proofs

Total questions: 45

Worksheet time: 4hrs 26mins

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