Geometry Properties of Equality

The reflexive property means that for all a, a = a.

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The symmetric property means that if a = b then b = a.

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The transitive property means if a = b and b = c, then a = c.

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The substitution property means you can replace a part of a statement with an equivalent value.

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The distributive property says that you can take a value and multiple it by the others, add them together and get an equivalent statement.

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What is Addition property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Tags

CCSS.HSA.REI.A.1

What is Subtraction property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is multiplication property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Tags

CCSS.3.OA.B.5

What is division property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.B.3

What is the Distributive property of equality

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

Tags

CCSS.3.OA.B.5