Question

What additional information do you need to conclude that the two triangles given here under are congruent using SAS rule?(When$HG=TR$ )

Answer 1

SAS Congruence rule :Two triangle are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

In $△GHJ$ and $△RTS,HJ=TS$ ( side ) ---$\left(1\right)$

$\angle GHJ=\angle STR$ ( included angle )--$\left(2\right)$

$HG=TR$ ( side )-----$\left(GIVEN\right)$

$\therefore ,△GHJ$ Congruent to $△RTS$

Information $\left(1\right)$ and $\left(2\right)$ required to prove ( SAS ) congruence.