Download Geometry Prove Angle Pair Relationships Right Angle Congruence

Geometry
Prove Angle Pair Relationships
Right Angle Congruence Theorem - All right angles are congruent
Example 1
J
Given: JK
Prove:
M
KL, ML
K
L
KL
L
K
Congruent Supplements Theorem – If two angles are supplementary to the same angle(
or to congruent angles) then they are congruent
Congruent Complements Theorem – If two angles are complementary to the same angle
(or to congruent angles), then they are congruent.
Linear Pair PostulateIf two angles form a linear pair, then they are supplementary
Vertical Angles Congruence Theorem –
Vertical Angles are congruent.
Example 2
Given:
1 and
2 are supplements
1 and
4 are supplements
0
m
2 = 45
Prove: m
1
2
3
4 = 45 0
Example 3
3
1
Given:
4 is a right angle
Prove:
2 and
4 are supplementary
2
4
4