Segment and Angle Proofs Practice

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

What kind of angles are ∠1 and ∠2 ?

• Exterior angles

• Vertical angles

• A Linear Pair

• Corresponding angles

• Alternate Interior angles

What reason justifies statement #7?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

What is the reason?

• Angle Addition 

• Segment Addition

• Definition of Congruence

• Definition of Between

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

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

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

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

What reason justifies statement #4?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

What reason justifies statement #5?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property