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10. In a parallelogram ABCD, the angle bisector of A bisects BC. Will angle bisector of B also bisects AD? Give reason. |
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Answer» a parallelogram. Mid-point of BC is E✧ JOIN A to E, ∠EAD = ∠EAB ----- (1)AD is parallel to BC and AE is a transversal.∠EAD =∠BEA ----- (2) [Alternate angle] . ✧ ∠EAB = ∠BEA [From (1) and (2)]AB = BE --(3)✧ But BE = BC/2 = AD / 2 ------(4)✧ Put value of BE in equation (3)AB = 1/2 AD [Proved] |
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