Properties of Equality and Congruence Review

Addition Property of Equality

• If a = b, then a + c = b + c

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Subtraction Property of Equality

• If a = b, then a + c = b + c

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.REI.B.3

Multiplication Property of Equality

• If a = b, then a + c = b + c

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.REI.B.3

Division Property of Equality

• If a = b, then a + c = b + c

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.REI.B.3

Distributive Property

• a(b + c) = ab + ac

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Substitution

• If a = b, then b can be substituted for a in any expression or equation.

• If a = b, then b cannot be substituted for a in any expression or equation.

• If a = b, then c can be substituted for a in any expression or equation.

• When Mr. Norman has another person come in and be the teacher for a day.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Reflexive Property of Equality

• For any real number a, a = a

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Symmetric Property of Equality

• If a = b, then b = a

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Transitive Property of Equality

• If a = b and b = c, then a = c

• If a = b, then a - c = b - c

• If a = b, then a · c = b · c

• If a = b, then (a/c) = (b/c)

Reflexive Property of Congruence

• For any geometric figure A, A ≅ A

• If A ≅ B, then B ≅ A

• If A ≅ B, then A ≅ C

• If A ≅ B and B ≅ C, then A ≅ C

Tags

CCSS.HSG.SRT.B.5