ch3.7 deductive reasoning
TRANSCRIPT
Ch3.7_DeductiveReasoning.notebook October 07, 2011
Chapter 3.7Deductive Reasoningand Proof
Deductive Reasoning
Using rules and true statements to prove an idea
Ch3.7_DeductiveReasoning.notebook October 07, 2011
RULES SHEET
Prove the FollowingIf two angles are vertical angles,then they are equal in measure
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Given: <1 and <2 are vertical angles
Prove: m<1 = m<3
STATEMENT REASON
<1 and <2 are vertical angles Given
m<1 + m<2 = 1800m<2 + m<3 = 1800
Angle addition
m<1 + m<2 = m<2 + m<3 Transitive Property
m<1 = m<3 Addition Propertyof Equality
Ch3.7_DeductiveReasoning.notebook October 07, 2011
Prove the FollowingIf two angles are complementary to the same angle, then they are equal to each other
Draw a diagram
STATEMENT REASON
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<1 and <2are complementary
<2 and <3are complementary
Worksheet for practice