\(k\) and \(t\) are two parallel lines intersected by another pair of parallel lines \(i\) and \(j\). Show that \(∆ PQR ≅ ∆ RSP\).
In \(ΔPQR\) and \(ΔRSP\), we have:
\(∠ QRP = ∠\) [Alternate interior angles] ---- (1)
\(∠ QPR = ∠\) [Alternate interior angles] ----(2)
\(PR=PR\) [Common side] ---- (3)
Thus, by congruence rule, \(ΔPQR ≅ ΔRSP\)
Hence, we proved.