Chapter 2 Review - Reasoning and Proofs

Fill in the reason for number 3.

• Angle Addition Postulate

• Addition Property

• Definition of congruent angles

• Given

Fill in the statement for number 4.

• m<ABC = m<1 + m<2 ; m<EFG = m<3 + m<4

• m<ABC = m<1 + m<4 ; m<EFG = m<3 + m<2

• <ABC= <1+ <2 ; <EFG= <3+ <4

• <ABC = <1 + <4 ; <EFG = <3 + <2

Fill in the statement for number 3.

• HA = AY

• HA = AP

• A is the midpoint of HP

Fill in the statement for number 4.

• RA=RE +AE

• EL = EA + AL

• RE +EA= EA +AL

• RA = EL

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Vertical Angles Theorem

• Definition of Complementary Angles

If AC ⊥ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines

• Definition of Right Angle

• Angle Addition Postulate

• Segment Addition Postulate

What is reason 1?

• Subtraction Property of Equality

• Transitive Property of Equality

• Given

• Prove

What is reason 2?

• Given

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property of Equality