Question

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

Explanation:

Step1: Identify corresponding sides and angles

In \(\triangle HJI\) and \(\triangle WXV\), we check for SAS (Side - Angle - Side) congruence.
For \(\triangle HJI\): Let the two sides be \(HJ\) and \(JI\) with the included angle \(\angle J\).
For \(\triangle WXV\): Let the two sides be \(WX\) and \(XV\) with the included angle \(\angle W\).
By observing the markings (the number of tick - marks on the sides and the angle markings), we can see that \(HJ = WX\) (three - tick - mark sides), \(JI=XV\) (one - tick - mark sides), and \(\angle J=\angle W\) (angle markings).

Answer:

\(\triangle HJI\cong\triangle WXV\)