Line Segment and Angle Proofs

Which of the following is a correct statement and reason for the proof shown?

Which of the following is a correct statement and reason for the proof shown?

What is Reason?

• Alternate Interior Angles are congruent when formed by parallel lines

• Vertical Angles are congruent

• Reflexive Property

• Definition of Angle Bisector

What is Statement?

• All of correct

• SP ≌ SP

• PS ≌ SP

• PS ≌ PS

Can the triangles be proven congruent?  If so, how?

• ASA

• AAS

• SAS

• Cannot be proven congruent

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

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Which of the following segments represents an altitude?

• BX

• AZ

• AC

• BZ

Find the largest side in Δ BCD

• Segment BC

• Segment DB

• Segment DC

• Segment AB