Consider the figure given below.
Prove that \(PQ = RS\), if \(PM = MS\), and \(QM = MR\). Also prove that \(M\) is the mid-point of both \(PS\) and \(QR\).
In \(\triangle PMQ\) and (\triangle RMS\).
\(PM =\)
\(QM =\)
\(\angle RMS\) \(=\) \(\angle\) ()
By congruence rule \(\triangle PMQ \cong \triangle RMS\).
\(PQ = RS\) ()
Similarly \(M\) is the mid-point of both \(PS\) and \(QR\).