Proofs Quick Review

What reason do we have to use to put the statement that AB = AB in our proof?

• Reflexive Property of Equality
• Transitive Property of Equality
• Symmetric Property of Equality
• Distributive Property of Equality

Tags

CCSS.HSG.SRT.B.5

If <M = <L then <L = <M

• Transitive Property of Equality
• Substitution Property of Equality
• Symmetric Property of Equality
• Reflexive Property of Equality

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

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

For any numbers a, b, and c, if a = b and b = c, then a = c.

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

Tags

CCSS.7.EE.A.1

For any numbers a and b, if a = b, then b = a.

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

Tags

CCSS.7.EE.A.1

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality

Tags

CCSS.7.EE.A.1

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

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

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

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

• Given

• Definition of Congruence

• Congruent means equal

• Transitive Property

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Complete the statement with the transitive property: If a=b and b=c then...

• a=c

• b=a

• c=b

• a=d

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5