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

Tags

CCSS.HSG.SRT.B.4

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

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.7.G.B.5

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

• Definition of Perpendicular Lines
• Definition of Right Angle
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

What is reason 1?

• Subtraction Property of Equality
• Transitive Property of Equality
• Given
• Prove

Tags

CCSS.HSA.REI.A.1

What is reason 2?

• Given
• Addition Property of Equality
• Subtraction Property of Equality
• Substitution Property of Equality

Tags

CCSS.HSA.REI.A.1