Question

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

Explanation:

Step1: Identify the sides and angles

For the SAS (Side - Angle - Side) theorem, we need two sides and the included angle to be equal.
In \(\triangle DCE\), we have two sides (marked with one and two tick - marks) and the included angle \(\angle C\).
In \(\triangle VXW\), we have two sides (marked with one and two tick - marks) and the included angle \(\angle V\).

Step2: Check congruence

Since the two sides and the included angle of \(\triangle DCE\) are equal to the two sides and the included angle of \(\triangle VXW\) (by visual inspection of the side - length marks and angle - marking), we can apply the SAS theorem.

Answer:

\(\triangle DCE\cong\triangle VXW\)