Line Segments Proof

• Definition of midpoint

• Definition of angle bisector

• Definition of segment bisector

• Definition of perpendicular lines

• Congruent

• transitive

• equal sign

• supplementary

When writing a proof start with ......

• The given

• Transative property

• Supplementary angles

• Subtraction POE

Fill in the reason for number 3. 

• Reflexive property
• Symmetric Property
• Transitive property
• Substitution property

Fill in the statement for number 3. 

• HA = AY
• HA = AP
• A is the midpoint of HP

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence