Geometry Essentials Review Page 2
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2
315. Complete the proof by supplying the missing information
Reason Bank:
If 4x – 7 = 2x + 4, then x =
Given
Addition Property
Proof
Congruent complements theorem
Statements
Reasons
Congruent supplements theorem
Definition of complementary angles
1.
1.
Definition of congruent
Definition of supplementary angles
2.
2.
Distributive Property
Division Property
3.
3.
Reflexive Property
4.
4.
Midpoint Theorem/ Definition of midpoint
Multiplication Property
Segment Addition Postulate
Substitution Property
Subtraction Property
Supplement Theorem
Symmetric Property
16. Given: M is the midpoint of AB
●
●
●
Transitive Property
MB BX
A
M
B
Vertical angles theorem
Prove: AM
BX
●
X
Note: These may be used more than once
or not at all.
Statements
Reasons
1. ________________________
1. M is the midpoint of
2. Midpoint Theorem
2. ________________________
3. ________________________
3. AM = MB
4. Given
4.________________________
5. ________________________
5. _________________________
17. Given: 1 2
2 3
3
3 4
1
2
4
1
°
23
4
°
23
Prove:
Statements
Reasons
1. 1 2
1. __________________________________________
2. 2 3
2. __________________________________________
3. Transitive Property
3. __________________________________________
4. 3 4
4. __________________________________________
5. 1 4
5. __________________________________________
6. Definition of congruent angles
6. __________________________________________
7. Given
7. __________________________________________
8. __________________________________________
8. __________________________________________
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