Warm Up: Algebraic and Geometric Proofs

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

What is reason 1?

• Subtraction Property of Equality
• Transitive Property of Equality
• Given
• Prove

What is the justification?

• Angle Addition Postulate

• Angle Bisector Definition

• Addition Property of Equality

• Supplement Theorem

What is the justification?

• Congruent Supplements Theorem

• Vertical Angles Theorem

• Definition of Supplementary Angles

• Definition of Complementary Angles

What is the justification?

• Congruent Complements Theorem

• Definition of Perpendicular

• Definition of a Right Angle

• Definition of Complementary Angles

What is the justification?

• Congruent Complements Theorem

• Angle Bisector Theorem

• Angle Addition Postulate

• Division Property of Equality

What is reason 2?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Identify the property of equality.
If 9=x, then x=9

• Reflexive
• Symmetric
• Transitive
• Substitution