Quiz - Deductive Reasoning and Proofs Study Guide

• Right Angle Postulate
• Linear Pair Postulate
• Angle Addition Postulate
• Definition of Congruent Angles
• Definition of Angle Bisector

• Segment Addition Postulate
• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Definition of Midpoint

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

What is the property?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

What is the property?

• Congruent Complements Theorem

• Definition of Perpendicular

• Definition of a Right Angle

• Definition of Complementary Angles

What is the justification?

• Definition of Congruence

• Definition of Perpendicular

• Definition of Complementary Angles

• Definition of a Right Angle

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD
• m∠ABD=m∠DBC
• m∠ABC=m∠ABC
• m∠ABD+m∠ABD=m∠ABD+m∠DBC

Step 2 is what

• Substitution property (simplify)
• Multiplication property of equality
• Division property of equality
• Distributive Property

What is step 3

• Addition property of equality

• Combine Like Terms (simplify)

• Subtraction property of equality

What is the Definition of Congruent Segments?

• If two segments are congruent, then they have equal lengths.

• If two lines are perpendicular, then they intersect to form right angles.

• If C is between A and B, then AC + CB = AB.

• A geometric figure that divides a segment at the midpoint.