Question

1. which two triangles are congruent by the sss theorem? complete the congruence statement.

Explanation:

Step1: Identify corresponding sides

In \(\triangle ABC\) and \(\triangle DEF\), we check the side - side - side (SSS) congruence.
For \(\triangle ABC\) and \(\triangle DEF\):
Let's assume the side with one mark in \(\triangle ABC\) corresponds to the side with one mark in \(\triangle DEF\), the side with two marks in \(\triangle ABC\) corresponds to the side with two marks in \(\triangle DEF\), and the side with three marks in \(\triangle ABC\) corresponds to the side with three marks in \(\triangle DEF\).

Step2: Write the congruence statement

By the SSS (Side - Side - Side) congruence theorem, if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
The vertices of the congruent triangles must be in the correct order. So, \(\triangle ABC\cong\triangle DEF\)

Answer:

\(\triangle ABC\cong\triangle DEF\)