sec 2-6 concept: proving statements about segments and angles objective: given a statement, prove it...
TRANSCRIPT
Sec 2-6Sec 2-6Sec 2-6Sec 2-6
Concept: Proving statements Concept: Proving statements about segments and anglesabout segments and anglesObjective: Given a statement, Objective: Given a statement, prove it as measured by a s.g.prove it as measured by a s.g.
Theorems:
Some Common Reasons:
• Given• Definition of Congruence (for segments and angles)• Definition of bisector (could be used for angles or
segments)• Definition of Midpoint (segments only)• Definition of Right Angle• Angle Addition Postulate• Segment Addition Postulate• Substitution• Addition property of Equality• Reflexive property of equality and congruence• Definition of Perpendicular• Definition of Supplementary• Definition of Complementary
What is a Proof?
Example 1:
5 parts of a proof: Given, Prove, Diagram, Statements, Reasons
Example 2:
Example 3
Example 4:
Example 5:
Example 6:
Today’s WorkIn Class:HW: