Properties Justifying Statements

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any c.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any c.

Front

What is the Reflexive Property?

Back

For any quantity a, a = a.

Front

What is the Substitution Property?

Back

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

Front

What is the Transitive Property?

Back

If a = b and b = c, then a = c.

Front

Example of Addition Property of Equality: If m∠ABC = 50° and m∠DEF = 50°, what can we say about m∠ABC + m∠QRS and m∠DEF + m∠QRS?

Back

m∠ABC + m∠QRS = m∠DEF + m∠QRS.

Front

Example of Substitution Property: If m∠1 = 134° and m∠2 = 134°, what can we conclude?

Back

m∠1 = m∠2.

Front

Example of Reflexive Property: What can we say about ∠JKL?

Back

∠JKL ≅ ∠JKL.

Front

Example of Transitive Property: If GH = MN and MN = OP, what can we conclude?

Back

GH = OP.

Front

Example of Transitive Property in angles: If ∠EFG ≅ ∠LMN and ∠LMN ≅ ∠SPT, what can we conclude?

Back

∠EFG ≅ ∠SPT.