Properties, Postulates, Definitions, and Theorems

Which property justifies the statement?

If x - 5 = 6, then x = 11.

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property

• Mulitplication Property

Which property justifies the statement?

If x/2 = 7, then x = 14.

• Multiplication Property of Equality

• Division Property of Equality

• Reflexive Property

• Symmetric Property

Which property justifies the following statement?

If y = mx, then y/m = x.

• Division Property of Equality

• Multiplication Property of Equality

• Transitive Property

• Addition Property of Equality

Which property justifies the following statement?

If x = y and x+5=7, then y+5=7.

• Transitive Property

• Symmetric Property

• Distributive Property

• Substitution Property

Which property justifies the statement?

Segment AC is congruent to Segment AC

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution Property

Which property justifies the statement?

If x - 7 = y + 2, then y + 2 = x - 7

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution Property

Which property justifies the statement?

If AC = BC and BC = 5, then AC=5.

• Reflexive Property

• Symmetric Property

• Transitive Property

• Subtraction Property

Which property says -7(x - 4) = -7x + 28?

• Addition Property
• Multiplication Property
• Division Property
• Distributive Property

Which reason justifies the statement below?

CD + DE = CE and DE = XY, then CD + XY = CE

• Segment Addition Postulate

• Substitution Property

• Symmetric Property

• Transitive Property

Which reason justifies the statement below?

If MN = PQ, then MN ≅ PQ.

• Definition of Congruence

• Definition of Midpoint

• Reflexive Property

• Symmeric Property