Proving Segments Relationship

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

AB + BC = AC is justified by which option below?

• Angle Addition Postulate

• Addition Property

• Segment Addition Postulate

• Theorem 22C

• F

• G

• H

• J

Give the reason for statement #3

• Substitution

• Subtraction of equality

• Symmetric Property

• Addition of equality

What reason justifies statement #8?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

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

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 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