Question

question 2 of 5 select all the correct answers. which two additional congruencies are necessary to prove that triangles abc and rts are congruent through sas? s b a c t r sides ac and rs are congruent. angles bac and trs are congruent. sides st and cb are congruent. sides ab and rt are congruent. angles acb and rst are congruent.

Explanation:

Step1: Recall SAS congruence criterion

The Side - Angle - Side (SAS) congruence 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: Identify the included - angle and sides for \(\triangle ABC\) and \(\triangle RTS\)

We need to find two sides and the included angle. If we assume \(\angle B\) and \(\angle T\) are the given equal angles (since no other angle - equality is given initially), we need the sides that form these angles. For \(\angle B\) in \(\triangle ABC\), the sides are \(AB\) and \(BC\), and for \(\angle T\) in \(\triangle RTS\), the sides are \(RT\) and \(ST\).
We need \(AB\cong RT\) and \(BC\cong ST\)

Answer:

Sides ST and CB are congruent.
Sides AB and RT are congruent.