Segment proofs

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

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Tags

CCSS.HSG.SRT.B.4

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

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

Fill in the reason for number 3. 

• Reflexive property
• Symmetric Property
• Transitive property
• Substitution property

Tags

CCSS.HSG.SRT.B.5

What is the justification (reason)?

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

Tags

CCSS.HSG.CO.C.10

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

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Segments
• Vertical Angles Theorem

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

What is the difference between a theorem and a postulate?

• A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

• A theorem is a statement that is assumed true without proof while a postulate is a true statement that can be proven.

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem