Question

question 24 of 25
which statement is an example of the symmetric property of congruence?
a. △efg≅△efg
b. if △efg≅△hjk, then △hjk≅△mnp.
c. if △efg≅△hjk, then △hjk≅△efg.
d. if △efg≅△hjk, and △hjk≅△mnp, then △efg≅△mnp

Explanation:

The symmetric property of congruence states that if figure A is congruent to figure B, then figure B is congruent to figure A. In terms of triangles, if $\triangle EFG\cong\triangle HJK$, then $\triangle HJK\cong\triangle EFG$. Option A is the reflexive property, option B has no such defined property, and option D is the transitive property.

Answer:

C. If $\triangle EFG\cong\triangle HJK$, then $\triangle HJK\cong\triangle EFG$.