Line Segment and Angle Proofs

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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.HSG.SRT.B.4

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

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

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

• Multiplication Property of Equality

• Division Property of Equality

• Subtraction Property of Equality

• Definition of midpoint

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.7.G.B.5

Give the reason for statement 1.

• Given

• Angle Addition Postulate

• Segment Addition Postulate

• Complementary angles

Tags

CCSS.7.G.B.5