sec 2-6 concept: proving statements about segments and angles objective: given a statement, prove it...

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Sec 2-6 Sec 2-6 Concept: Proving statements Concept: Proving statements about segments and angles about segments and angles Objective: Given a Objective: Given a statement, prove it as statement, prove it as measured by a s.g. measured by a s.g.

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Page 1: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

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.

Page 2: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Theorems:

Page 3: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

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

Page 4: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

What is a Proof?

Example 1:

5 parts of a proof: Given, Prove, Diagram, Statements, Reasons

Page 5: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Example 2:

Page 6: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Example 3

Page 7: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Example 4:

Page 8: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Example 5:

Page 9: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Example 6:

Page 10: Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g

Today’s WorkIn Class:HW: