Geometry Proofs Midpoints

• Definition of midpoint

• Definition of angle bisector

• Definition of segment bisector

• Definition of perpendicular lines

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

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

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

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

Select the reason that best fits #2

• Given

• Reflexive property

• Definition of midpoint

• Substitution Property

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5

• 11

• -5.5

• -11

VW is a midsegment of triangle KIJ. What is the length of segment KI?

• -1

• -10

• 18

• 8

TS is a midsegment of triangle GHI. Solve for the value of x.

• 4

• 6

• 8

• 10

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