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`A B C D`is a parallelogram. `L`and `M`are points on `A B`and `D C`respectively and `A L=C Mdot`prove that `L M`and `B D`bisect each other. |
Answer» AL=CM AB-BL=CD-DM -BL=-DM BL=DM NOW, AB||CD and traversal BD and LH `/_3=/_4` and `/_1=/_2` `In /_OBL and /_OMP` `/_1=/_2` `/_3=/_4` BL=DM `/_OBC cong /_ OMP(ASA)` OB=OD and OL=OM O is the mid point of BP and O is the midpoint of LM BO and LM bisects each other at D. |
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