2.1-2.3 Two- Column Proofs and Reasoning

Fill in the blank of the proof in the picture.

• Given

• Transitive property of equality

• Substitution

• Definition of perpendicular lines

Given: OR $\perp$ QP.  What should you conclude by definition of perpendicular?

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary

• <QRP = 180 $\degree$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Given: <1 and <2 are supplementary. What can you conclude?

• m<1 + m<2 = 180 ; Definition of supplementary angles

• m<1 + m<2 = 90 ; Definition of complementary angles

• m<1 = m<2 ; Definition of congruence

• nothing

Given: AB is the segment bisector of PQ. What conclusion can you draw?

• PF = QF

• F is the midpoint of PQ

• m<PFA = m<QFA

• <PFQ is a straight angle

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

Tags

CCSS.HSG.CO.D.12

What is the reasoning?

• Symmetric Property

• Angle addition postulate

• Reflexive Property

• Transitive Property

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

• addition property

• angle addition postulate

• subtraction property

• substitution property

When starting a proof you always start with:

• Given information
• What it wants you to prove
• Equal Angles
• Linear Angles

Tags

CCSS.HSG.CO.A.1

What is the missing statement in the proof?

• Addition Property

• Segment Addition Postulate

• Substitution Property

• Transitive Property

What is the REASON for Statement #6?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3