Segment Addition Proofs

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

Fill in the statement for number 4. 

• RA=RE +AE

• EL = EA + AL

• RE +EA= EA +AL

• RA = EL

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

What is the reason for the above?

• Angle Addition Postulate

• Segment Addition Postulate

• Definition of Midpoint

• Transitive Property of Congruence

What reason allows us to say that AE+EC=AC?

• Angle Addition Postulate

• Segment Addition Postulate

• Linear Pair Theorem

• Definition of Midpoint

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

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

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem