Geometry 2-5 Guided Practice: Reasoning in Algebra and Geometry

Take Note: Match each item on the left with the property it demonstrates on the right.

Assume that a, b, and c are real numbers, that a = b, and that c ≠ 0.

If 7 = a, then a = 7.		Addition Property of Equality
a ÷ 4 = b ÷ 4		Subtraction Property of Equality
a + 5 = b + 5		Multiplication Property of Equality
5(a - b) = 5a - 5b		Division Property of Equality
-3b = -3a		Reflexive Property of Equality
If a = b and b = 24, then a = 24.		Symmetric Property of Equality
a - 17 = b - 17		Transitive Property of Equality
b = b		Substitution Property of Equality
If c = 10, then 10 can replace c in any expression.		Distributive Property

If \overline{PR} \cong \overline{TS} and \overline{TS} \cong \overline{ML}, then \overline{PR} \cong \overline{ML}.
\angle{1} \cong \angle{1}
If \angle{B} \cong \angle{M}, then \angle{M} \cong \angle{B}.
\overline{ST} \cong \overline{ST}