Q22 of 109 Page 318

The parallel sides of a trapezium are a and b respectively. The line joining the mid-points of its non-parallel sides will be

It is given in the question that,

ABCD is a trapezium


Draw EF parallel to AB and DC, and join BD intersecting EF at point M.


Now, E is the midpoint of AD and EM ∥ AB. Hence, using midpoint theorem,


EM = 1/2 AB


⇒ EM = 1/2 b


Similarly, FM = 1/2


⇒ DC = 1/2 a


EF = EM + FM


EF = 1/2 a + 1/2 b


EF = 1/2 (a + b)


∴Option B is correct

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