Proofs with Angles and Segments

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

• Division Property of Equality

• Addition Property of Equalilty

• Transitive Property of Equality

• Substitution Property of Equality

QR=QR

• Reflexive Property of Equality

• Symmetric Property of Equality

• Subtraction Property of Equality

• Transitive Property of Equality

If RS+TU=XY and TU=WV, then RS + WV=XY

• Segment Addition Postulate

• Addition Property of Equality

• Substitution Property of Equality

• Division Property of Equality

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

• Definition of midpoint

• Transitive Property of Equality

• Symmetric Property of Equality

• Definition of congruence

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

• Transitive Property of Equality

• Multiplication Property of Equality

• Reflexive Property of Equality

• Distributive Property of Equality

If 2XY=YZ, then XY = 1/2 YZ

• Multiplication Property of Equality

• Division Property of Equality

• Subtraction Property of Equality

• Definition of midpoint

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

• Segment Addition Postulate

• Definition of midpoint

• Addition Property of Equality

• Transitive Property of Equality

If 2KL=KL + MN then KL=MN

• Segment Addition Postuate

• Definition of midpoint

• Subtraction Property of Equality

• Division Property of Equality

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