Proofs

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10

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.4.G.A.1

CCSS.HSG.CO.A.1

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles

•  $<1\cong<3$  

Tags

CCSS.7.G.B.5

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

• m<1 + m<2 = 180

• m<1 + m<2 = 90

• m<1 = m<2

• nothing

Tags

CCSS.7.G.B.5

Which of the following is an example of the transitive property?

• If x = 5 and and x = y, then y = 5.

• If x = y then y = x

• x = x

• If 2x + 4 = 2, then x = -1

Tags

CCSS.HSA.REI.A.1

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.10

Which of the following conclusions CANNOT be drawn just by looking at the diagram?

• GH and AB intersect at D

• <GDA and <HDB are vertical angles

• D is the midpoint of GH

• G, D, and H are collinear

Tags

CCSS.7.G.B.5

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.C.9

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

Tags

CCSS.8.G.A.2