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Q.2 ABCD is a parallelogram. L and M are paints on AB and DC respectively AL = CM.Prove that LM and BD bisect each other. |
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Answer» Let LM and BAD intersect at O as AL = CM and AB = CDtherefore AB-AL=CD-CMBL = DM ___ (i) consider ∆OMD and ∆OLB• <DOM = <BOL (vertically opposite angles)• <OMD = <OLB (alternate interior angles)• DM = BL (from i)therefore ∆OMD congruent to ∆OLBtherefore OM = OL, OD = OB (CPCT)therefore O bisects LM and BDtherefore LM, BD bisect each other |
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