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1st NW Proof Review

Total questions: 55

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

If a is related to b and b is related to c then a is related to c

a)

transitive property

b)

  • subtraction property of equality

c)

Given

d)

Definition of right angle

2.

AB + BC = AC

a)

Angle addition postulate

b)

Segment addition postulate

c)

Definition of supplementary angles

d)

Transitive property

3.

If <1 is a right angle, then m<1 = 90o90^o  

a)

Definition of right angle

b)

Definition of supplementary angles

c)

Definition of angle bisector

d)

Definition of midpoint

4.

If B is the midpoint of AC‾\overline{AC}  , then AB‾≅BC‾\overline{AB}\cong\overline{BC}  

a)

Definition of midpoint

b)

Definition of angle bisector

c)

Definition of segment bisector

d)

Definition of perpendicular lines

5.

If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50

a)

Transitive property

b)

Substitution

c)

Definition of angle bisector

d)

Subtraction property of equality

6.

m<AMX + m<XMB = m<AMB

a)

Segment addition postulate

b)

Angle addition postulate

c)

Definition of supplementary angles

d)

Definition of angle bisector

7.

The symbol ≅\cong  means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

8.

When writing a proof start with ......

a)

The given

b)

Transitive property

c)

Supplementary angles

d)

Subtraction property of equality

9.

Which reason justifies the statement?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

d)

Division Property of Equality

10.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Division Property of Equality

d)

Addition Property of Equality

11.

The product of any two prime numbers is always odd.

4 lines
12.

The square of a number is always larger than the number.

4 lines
13.

Two lines always intersect at a point.

4 lines
14.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Division Property of Equality

d)

Addition Property of Equality

15.

Which reason justifies the statement?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

d)

Division Property of Equality

16.

Which reason justifies the statement?

a)

Division Property of Equality

b)

Addition Property of Equality

c)

Multiplication Property of Equality

d)

Subtraction Property of Equality

17.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Addition Property of Equality

18.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Distributive Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

19.

Which reason justifies the statement?

a)

Reflexive Property of Equality

b)

Division Property of Equality

c)

Symmetric Property of Equality

d)

Commutative Property of Equality

20.
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
21.

What is step 2?

a)

Distributive Property

b)

Multiplication property of equality

c)

Division property of equality

d)

Substitution property

22.

What is step 6?

a)

Subtraction property of equality

b)

Division property of equality

c)

Addition property of equality

d)

Given

23.

What is step 2?

a)

Given

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

e)

Addition Property of Equality

24.

What is always the 1st reason of a proof?

a)

Given

b)

Reason

c)

Prove

d)

Statement

25.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
26.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
27.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
28.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
29.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

30.

What property makes this true?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Segment Addition Postulate

31.

What property makes this true?

m<1 + m<2 = 180 degrees

a)

Definition of Supplementary Angles

b)

Definition of Complementary Angles

c)

Definition of Congruence

d)

Definition of Right Angle

32.

What property makes this true?

<DBC is a right angle.

a)

Given

b)

Definition of Supplementary Angles

c)

Definition of Perpendicular

d)

Definition of Congruence

33.

What is step 2?

a)

Distributive Property

b)

Multiplication property of equality

c)

Division property of equality

d)

Substitution property

34.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
35.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
36.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

37.

What property makes this true?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Segment Addition Postulate

38.

What property makes this true?

m<1 + m<2 = 180 degrees

a)

Definition of Supplementary Angles

b)

Definition of Complementary Angles

c)

Definition of Congruence

d)

Definition of Right Angle

39.

What property makes this true?

<DBC is a right angle.

a)

Given

b)

Definition of Supplementary Angles

c)

Definition of Perpendicular

d)

Definition of Congruence

40.

What is a counterexample?

a)

The process of reasoning using observations and patterns.

b)

An example that proves that a conjecture or statement is false.

c)

The process of reasoning logically and drawing a conclusion from given facts and statements.

41.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
42.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
43.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
44.
Fill in the statement for number 3. 
a)
HA = AY
b)
HA = AP
c)
A is the midpoint of HP
45.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
46.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

47.

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

48.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

49.
If O is between FX, then FO + OX = FX.
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
50.

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

51.
What is the reason?
a)
Definition of congrucent
b)
Definition of midpoint
c)
Definition of segment
d)
Segment Addition 
52.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
53.
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
54.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Symmetric Property of Congruence
d)
Reflexive Property of Congruence
55.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

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