When two chords of a circle are intersect internally, then they are divided in a proportion.
i.e., PX.PY=PZ.PT In ΔPXZ and ΔPTY, ∠ZPX=∠YPT (vertically opposite angles) ∠PZX=∠PYT (angle in same segment) ∠PXZ=∠PTY (angles in same segment) ∴ ΔPXZ~ΔPTY Hence, the both statements are corect.