TRIANGLE INEQUALITY THEOREM The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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Presentation transcript:

TRIANGLE INEQUALITY THEOREM The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE) Distributive Property of Equality (DisPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE) Distributive Property of Equality (DisPE) Substitution Property of Equality (SubPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE) Distributive Property of Equality (DisPE) Substitution Property of Equality (SubPE) Transitive Property of Equality (TPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE) Distributive Property of Equality (DisPE) Substitution Property of Equality (SubPE) Transitive Property of Equality (TPE) Reflexive Property of Equality (RPE)

PROPERTIES OF REAL NUMBERS Addition Property of Equality (APE) Subtraction Property of Equality (SPE) Multiplication Property of Equality (MPE) Division Property of Equality (DPE) Distributive Property of Equality (DisPE) Substitution Property of Equality (SubPE) Transitive Property of Equality (TPE) Reflexive Property of Equality (RPE) Symmetric Property of Equality (SymPE)

State the property that justifies each statement. sympe If 80 = m ∠ A, then m ∠ A = 80.

State the property that justifies each statement. SPE If VR + TY = EN + TY, then VR = EN.

State the property that justifies each statement. DPE If 7x = 28, then x = 4.

State the property that justifies each statement. TPE If RS = TU and TU = YP, then RS = YP.

State the property that justifies each statement. DISPE If 7(x-5), then 7x-35.

State the property that justifies each statement. TPE If m ∠ 1 = 30 and m ∠ 1 = m ∠ 2, then m ∠ 2 = 30.

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