Proofs and Properties

Given that C is between A & B, which Segment Addition statement is correct?

• AC + AB = CB
• AC + CB = AB
• AB + BC = AC
• CA + CB = CA

Tags

CCSS.HSG.CO.A.1

A = A

• reflexive property

• addition property

• symmetic

• distributive

if a = b and b= c then a = c

• transitive

• multiplication

• symmetric

• reflexive

Tags

CCSS.HSG.SRT.B.5

a=b . then b=a

• symmetric

• reflexive

• distributive

• transitive

if a = b then a+c = b+c

• addition

• multiplication

• symmetric

• transitive

Tags

CCSS.HSA.REI.A.1

if a= b then a-c = b-c

• subtraction

• addition

• multipliction

• division

Tags

CCSS.3.MD.A.2

What is the reason for the  statements above?

• Definition of Congruence
• Symmetric Property of Congruence
• Reflexive Property of Equality
• Congruent Segments Theorem

Tags

CCSS.HSG.SRT.B.5

Using the figure above, what is the reason for the following:
∠1 ≅ ∠3

• Vertical Angle Theorem
• Definition of Vertical Angles
• Congruent Angle Theorem
• Definition of Congruence

Tags

CCSS.7.G.B.5

What is the reason for the above?

• Angle Addition Postulate
• Segment Addition Postulate
• Definition of Midpoint
• Transitive Property of Congruence

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

Tags

CCSS.7.G.B.5