Question

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

Explanation:

Step1: Identify corresponding sides

In triangle \(VUW\) and triangle \(EFG\), we check the side - side - side (SSS) congruence.
For triangle \(VUW\): Let the side with three marks be \(VW\), the side with two marks be \(VU\), and the side with one mark be \(UW\).
For triangle \(EFG\): The side with three marks is \(EF\), the side with two marks is \(FG\), and the side with one mark is \(EG\).
We can match the sides: \(VW = EF\) (three - mark sides), \(VU=FG\) (two - mark sides), \(UW = EG\) (one - mark sides)

Step2: Write the congruence statement

When writing the congruence statement for triangles, we match the vertices based on the corresponding sides.
Since \(V\) corresponds to \(E\), \(U\) corresponds to \(F\), and \(W\) corresponds to \(G\)

Answer:

\(\triangle VUW\cong\triangle EFG\)