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Angle Proofs Quiz

Total questions: 20

Worksheet time: 28mins

Name
Class
Date
1.
Fill in the statement for number 4. 
a)
m<ABC = m<1 + m<2 ; m<EFG = m<3 + m<4
b)
m<ABC = m<1 + m<4 ; m<EFG = m<3 + m<2
c)
<ABC= <1+ <2 ;   <EFG=  <3+ <4
d)
<ABC = <1 + <4 ;  <EFG =  <3 +  <2
2.
Fill in the reason for number 5. 
a)
Addition Property
b)
Substitution
c)
Subtraction Property
d)
Transitiive
3.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
4.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
5.

Given: 1 is a right angleGiven:\ \angle1\ is\ a\ right\ angle
Give a conclusion and reason for the conclusion.

a)

m1=180m\angle1=180  Definition of straight angle

b)

m1=90°m\angle1=90\degree  Definition of perpendicular

c)

m1=90°m\angle1=90\degree  Definition of right angle

d)

190°\angle1\ne90\degree  Definition of right angle

6.

What is reason 1?

a)
b)
c)
d)
7.
What is the REASON for Statement #2?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
8.
What is the REASON for Statement #3?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
9.
What is the REASON for Statement #5?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
10.
What is the REASON for Statement #6?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
11.

Given: m1+m2=90°Given:\ m\angle1+m\angle2=90\degree  
Conclusion: 1 comp 2Conclusion:\ \angle1\ comp\ \angle2  

Give the reason for the conclusion.

a)

Definition of supplementary

b)

Definition of complementary

c)

Definition of a right angle

d)

Definition of perpendicular

12.

Given: line ι bisects PRGiven:\ line\ \iota\ bi\sec ts\ \overline{PR}  
Make a conclusion from the given and give a reason for the conclusion.

a)

Q is the midpoint of PRQ\ is\ the\ midpoint\ of\ \overline{PR}  Definition of midpoint

b)

PQ=QR Definition of bisects

c)

PR÷2=QR\overline{PR}\div2=\overline{QR}  Definition of bisects

d)

PQQR\overline{PQ}\cong\overline{QR}  Definition of bisects

13.

Given: BABCGiven:\ \overrightarrow{BA}\perp\overrightarrow{BC}  
Give a conclusion for the given and a reason for the conclusion.

a)

mB=90° m\angle B=90\degree\  Definition of right angle

b)

mB=90°m\angle B=90\degree  Definition of perpendicular

c)

B is a right angle\angle B\ is\ a\ right\ angle  Definition of perpendicular

d)

B is a right angle\angle B\ is\ a\ right\ angle  Definition of right angle

14.

If two angles form a linear pair,
then they are supplementary
Linear pair \rightarrow  Supplementary 

a)

Congruent supplements theorem 

b)

Supplement theorem 

15.

In a geometric proof, reasons on the _____ side

a)

Left

b)

Right

c)

transative

d)

POE

16.

In a geometric proof, statements go on the ____ side

a)

left

b)

right

c)

transative

d)

POE

17.

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

a)

Definition of midpoint

b)

Definition of angle bisector

c)

Definition of segment bisector

d)

Definition of perpendicular lines

18.

The symbol \cong  means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

19.

Line BQ bisects <ABC, so <ABQ \cong  <CBQ

a)

definition of angle bisector

b)

definition of congruency

c)

vertical angle theorem

d)

definition of right angle

20.

Given: <1 and <2 are supplementary. What can you conclude?

a)

m<1 + m<2 = 180

b)

m<1 + m<2 = 90

c)

m<1 = m<2

d)

nothing