Question

Which of the following represents the symmetric property of equality?

A) If a = b and b = c, then a = c

B) If a = b, then ac = bc

C) If a = b, then b = a

D) a(b + c) = ab + ac

Answer 1

C) a = b ⇒ b = a

Explanation:

You want to identify the statement that represents the symmetric property of equality.

A.

If a = b and b = c, then a = c. This is the transitive property of equality.

B.

If a = b, then ac = bc. This is the multiplication property of equality.

C.

If a = b, then b = a. This is the symmetric property of equality.

D.

a(b +c) = ab +ac. This is the distributive property of multiplication over addition.