Question

In a quadrilateral PQRS, the diagonals PR and QS intersect each other at the point T. If PT:TR = QT :TS = 1:2, show that ΔPTQ - DRTS

Answer 1

Consider ΔPTQ and ΔRTS,

`"PT"/"TR" = "QT"/"TS" = (1)/(2)`  ...(Given)

∠PTQ = ∠RTS      ...(Vertically Opposite angles)
⇒ ΔPTQ ∼ ΔRTS.  ...(SAS criterion for Similarity)