Segment Properties and Proofs

Which property justifies the next step?

• Symmetric Property
• Segment Addition Postulate
• Definition Midpoint
• Definition Congruence

Which property justifies the next step?

• Symmetric Property
• Transitive Property
• Segment Addition Property
• Reflexive Property

Which property justifies the next step?

• Definition Congruence
• Segment Addition Post
• Transitive Property
• Definition Equality

If AB=CD then AB+EF = CD + EF

• Division property of equality
• Addition Property of equalilty
• Transitive property of equality
• Substitution

QR=QR

• Reflexive property of equality
• Symmetric property of equality
• Subtraction property of equality
• Transitive property of equality

JK equals LM, then line segment JK is congruent to line segment LM

• Definition of midpoint
• Transitive Property
• Symmetric Property
• Definition of Congruence

If AB=BC and BC=CE then AB=CE

• Transitive property
• Multiplication of equality
• Reflective property of equality
• Distributive property of equality

If Q is between P and R, then PQ +QR=PR

• Segment Addition postulate
• Definition of Midpoint
• Addition Property of equality
• Transitive Property

Give the reason for statement #3

• Definition of supplementary angles
• Definition of congruence
• Vertical angles theorem
• Congruent supplements theorem 

Give the reason for statement 1.

• Given
• Angle addition postulate
• Segment Addition Postulate
• Complementary Angles