which shows two triangles that are congruent by the sss congruence theorem?
which shows two triangles that are congruent by the sss congruence theorem?
Answer
Answer:
The second option (where $\triangle ABC$ and $\triangle DEC$ have all three - corresponding sides marked as equal) shows two triangles that are congruent by the SSS congruence theorem.
Explanation:
Step1: Recall SSS congruence
SSS means side - side - side. Triangles are congruent if all three pairs of corresponding sides are equal.
Step2: Analyze options
In the second option, $\overline{AB}\cong\overline{DE}$, $\overline{BC}\cong\overline{DC}$, and $\overline{AC}\cong\overline{EC}$ (as marked by the congruence symbols on the sides), satisfying the SSS criterion. In the other options, the markings do not show all three pairs of corresponding sides are equal.