Segments Proofs

If B is the midpoint of segment AC, then AB = BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

What is the reason?

• Definition of congrucent

• Definition of midpoint

• Definition of segment

• Segment Addition 

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

If DA bisects IE, then

• ID=ED

• IA=EA

• <IDA=<EDA

• <IAD and <EAD are right angles

What property makes this true?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Segment Addition Postulate

If L is the midpoint of TJ, what must be true?

• TL=JT

• JL=TJ

• TL=LJ

• T is also the midpoint of JL

Name the property described:

If MN = OP and OP = QR, then MN = QR

• Reflexive Property

• Symmetric Property

• Transitive Property

• Addition Property

What reason justifies statement #4?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

What reason justifies statement #5?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

What reason justifies statement #7?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property