Geometric Proofs.notebook
October 19, 2012
2.6: Geometric Proofs
Use deductive reasoning to create a chain of logical steps that move from the hypothesis to the conclusion.
hypothesis
Definitions
Postulates
Properties
Theorems
Conclusion
Things we know:
Linear Pair Theorem: If two angles form a linear pair, then they are supplementary
Vertical Angles Theorem: Vertical Angles are congruent
Right Angles Theorem: All right angles are congruent.
Congruent Complements: If <1 and <2 are complementary and <2 and <3 are complementary, then <1 ≅< 3 Congruent Supplements: If <1 and <2 are supplementary and <2 and <3 are supplementary, then <1 ≅ < 3
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Geometric Proofs.notebook
October 19, 2012
Definition of angle bisector:
Definition of midpoint:
Definition of congruence:
Def of segment bisector:
Given: <1 and <2 are supplementary
<2 and <3 are supplementary
Conclusion: <1≅ <3.
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Geometric Proofs.notebook
October 19, 2012
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Geometric Proofs.notebook
October 19, 2012
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