15. ABCD is a parallelogram whose diagonalsDintersect each other at a – InterviewSolution

InterviewSolution

1.	15. ABCD is a parallelogram whose diagonalsDintersect each other at a point O. A linesegment EF is drawn through O and isterminated by AB and CD. Prove thatOE OF.
Answer» In∆ODFand∆OBE, we have:OD = OB (Diagonals bisects each other)∠DOF= ∠BOE (Vertically opposite angles)∠FDO= ∠OBE (Alternate interior angles)i.e., ∆ODF≅∆OBE∴OF = OE (CPCT)Hence, proved.

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