Line Segment Proofs

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Fill in the statement for 6

• ZA + AN = ZN

• ZA = AY

• AN + AY = ZN

• AN = AY

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

Which of the following choices are in the correct order to fill in the proof?

• Given; Segment Addition Postulate; Substitution; Definition of midpoint; Addition; Simplify

• Given; Definition of midpoint; Addition; Simplify; Segment Addition Postulate; Substitution

• Given; Substitution; Addition, Simplify; Definition of midpoint; Segment Addition Postulate

Which is correct to fill in Statement 6 ?

What reason justifies statement #8?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Which of the following is a correct statement and reason for the proof shown?