Question

6 multiple choice 1 point state what additional information is needed to prove the triangles are congruent using sas: ij ≅ st hj ≅ rt hi ≅ st not possible

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence criterion

The SAS criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

Let's assume in \(\triangle HIJ\) and \(\triangle RST\), we already have one pair of sides (marked with one tick) and one pair of angles (the non - ticked angles) that we can consider.
For the SAS criterion, we need two sides and the included angle.
If we consider the sides adjacent to the given angles:
In \(\triangle HIJ\) and \(\triangle RST\), if \(HI\cong ST\) (the sides adjacent to the given angles), along with the already given equal side (marked with one tick) and equal angle (the non - ticked angle), we can apply the SAS criterion.

Answer:

\(HI\cong ST\)