Segment Proofs 2

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Fill in the reason for number 3. 

• Reflexive property
• Symmetric Property
• Transitive property
• 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 is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Justify the following statement

• Transitive Property

• Symmetric Property

• Substitution Property

• Reflexive Property

Answer explanation

When something is equal to or congruent to itself, that is the reflexive property (like x=x or 5=5).

Justify the following statement

• Symmetric Property

• Reflexive Property

• Definition of Congruent

• Substitution Property

Answer explanation

When the order of two equal measures is switched around, this is the symmetric property (x=5, 5=x).

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

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

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Fill in the reason for 5. 

• Addition Property

• Substitution property

• Definition of midpoint

• Segment Addition Postulate