PD4 Reflexive, Symmetric, Transitive, Substitution

What is the Symmetric property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
•  For any real number a, a=a .
•  If a=b, then b=a

What is the Reflexive property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
• For any real number a, a=a .
•  If a=b, then b=a

What is the Transitive property?

•  If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
•  If a=b, and b=c, then a=c
• If a=b, then b=a

Identify the property used here:
39=39

• Reflexive
• Symmetric
• Transitive
• Substitution

Tags

CCSS.7.EE.A.1

Identify the property used here:
If 31 = 2x - 5, then 2x - 5 = 31

• Reflexive
• Symmetric
• Transitive
• Substitution

Tags

CCSS.HSA.REI.A.1

The Symmetric Property says that if AB = BC, then _________

• AB = BC
• BC = AB
• BC = CD
• A = B

Tags

CCSS.HSA.REI.A.1

Make a conjecture given that M is the midpoint of BC .

• BM=BC
• BM=MC
• MC=BC
• M bisects angle C

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

What is the justification that segment GI is congruent to segment IH?

• segment addition postulate
• perpendicular lines intersect to form right angles
• midpoint divides an angle into two congruent angles
• definition of a segment

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

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