Segment Proof Practice

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

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 justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

What is the reason?

• Transitive 

• Substitution

• Middle Man

• Replacing 

Justify the following statement using a property of equality, property of congruence, definition, or postulate.

• Definition of Congruence

• Reflexive Property

• Symmetric Property

• Transitive Property

Justify the following statement using a property of equality, property of congruence, definition, or postulate.

• Definition of Midpoint

• Segment Addition Postulate

• Symmetric Property

• Transitive Property

Justify the following statement using a property of equality, property of congruence, definition, or postulate.

• Reflexive Property

• Segment Addition Postulate

• Symmetric Property

• Transitive Property

Justify the following statement using a property of equality, property of congruence, definition, or postulate.

• Addition Property

• Segment Addition Postulate

• Substitution Property

• Transitive Property

Justify the following statement using a property of equality, property of congruence, definition, or postulate.

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property