ABCD is an isosceles trapezium in which AB||DC and AD||BC. DM and CN are perpendicular to AB from D and C resp. Give reason for each of the following:-
a) Is DM = CN?
b) Is triangle ADM =~ triangle BCN?
c) Is angleA = angleB
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Solution:
In △ADE and △BCF
∠A=∠B (Base angle is same in Isosceles)
∠CFB=∠DEA=90
∘
AD=BC
△ADE≡△BCF (by ASA)
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