Download Transitive property of equality or substitution. 2. AB = AB reflexive

Geometry Proof test review
Name____________________
I. Identify the property of equality used in the following statements.
1. If m A  m B and m A  30 , then m B  30 .
Transitive property of equality or substitution.
reflexive property
2. AB = AB
3. If m P  m Q , then m Q  m P .
Symmetric property of equality
II. Give the reason for the conclusion. If it is a definition, you may write “def of ____”. If it is a postulate or theorem with
a name, you may just write the name. Otherwise, write out the postulate or theorem.
4.
5.
Given:
Given: m A  63 , m B  63
Conclusion: A  B
Reason:
A supp B
Conclusion: m A  m B  180
Reason:
Def. of supplementary
Def. of congruence
6.
7.
Given:
Given:
.
Conclusion:
1supp
2
Conclusion:
Reason:
vertical angles are congruent
or vertical angle thm
III. Give the reason for each step in the proof.
8. Given: GM = 28, GE = 4x + 9, EM = 3x-2
Prove: x = 3
2. GE + EM = GM
3. 4x + 9 + 3x - 2 = 28
4. 7x + 7 = 28
5. 7x = 21
6. x = 3
2
Reason:
Linear pair angles are supplementary or
Linear pair postulate
Statements
1. GM = 28, GE = 4x + 9, EM = x + 2
1
Reasons
Given
Segment addition
postulate
Substitution
Simplify
Subtraction property
division property
1 and 3 are a linear pair.
Prove: m 1  m 2
9. Given:
Statements
3 are a linear pair.
3 are a linear pair.
and
1supp 3 ,
1 and
1.
2
2.
2 supp 3
3.
1 2
4. m 1  m
10.
2
2 and
3 are a linear pair.
Reasons
Given
Linear pair postulate
or linear pair angles are supplementary
Angles supplementary to the same angle are congruent
or congruent supplements thm
Def of congruent
2 4
4 5
Given:
Prove:
Statements
Reasons
1.
2
4
Given
2.
2
5
Vertical angle thm Or vertical
angles are congruent
3.
4 5
transitive