Question

question 34 of 45
which property best describes the conditional statement below?
if △abc≅△def, then △def≅△abc
a. reflexive property
b. associative property
c. transitive property
d. symmetric property

Explanation:

The symmetric property of congruence states that if one triangle is congruent to another, then the second triangle is congruent to the first. Here, if $\triangle ABC\cong\triangle DEF$, then $\triangle DEF\cong\triangle ABC$ which follows the symmetric property. The reflexive property is about a figure being congruent to itself ($\triangle ABC\cong\triangle ABC$). The associative property is related to grouping in operations and not applicable here. The transitive property is if $\triangle ABC\cong\triangle DEF$ and $\triangle DEF\cong\triangle GHI$, then $\triangle ABC\cong\triangle GHI$.

Answer:

D. Symmetric property