Question

Which statement is an example of the symmetric property of congruence?

Answer 1

The answer is D. The symmetric property of congruence basically just states that if A is congruent to B, then B is congruent to A. This is like symmetry or a mirror, thus giving it it's name.

Answer 2

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If $A\cong B$, then $B\cong A$.

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If $\Delta EFG\cong \Delta HJK$, then $\Delta HJK\cong \Delta EFG$ which is the exact statement of the symmetric property of congruence when applied to triangles.

Thus, Option D is the correct option.