Q. 115.0( 5 Votes )

ABCD is a trapezium in which AB || CD and AD = BC, then A = B is


A. true

B. false

Answer :

Construction: Draw perpendicular line from D and C to AB such that it cuts AB at F and E, respectively.

Now, In ∆ADF and BCE,


AD = BC (Given)


AFD = BEC (90o each)


DF = CE (Perpendicular distance between the same parallels)


By SSA axiom


ADF ∆BCE


A = B (by c.p.c.t.)


Therefore Option A is correct.

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