Question

Name the property of equality that justifies this statement

If p =q then q=p

A: reflexive property
B: transitive property
C: symmetric property
D: substitution property

Answer 1

[AI-generated answer — Bot GPT 3.5]

C: Symmetric property

Answer 2

[AI-generated answer — Step-by-Step Bot]

C: symmetric property

Answer 3

[AI-generated answer — Explain Bot]

The property of equality that justifies the statement "If p = q, then q = p" is the symmetric property.

To understand why, we need to consider the definition of the symmetric property. The symmetric property of equality states that if a = b, then b = a. In other words, if two things are equal to each other, you can interchange their positions.

In the given statement, we have "p = q". By applying the symmetric property, we can see that we can interchange the positions of "p" and "q", resulting in "q = p".

So, the correct answer is C: symmetric property.