Q. 234.5( 4 Votes )
In a trapezium AB A. 
B. 
C. 
D. 
Answer :
Construction: Join CF and extent it to cut AB at point M
Firstly, in triangle MFB and triangle DFC
DF = FB (As F is the mid-point of DB)
∠DFC = ∠MFB (Vertically opposite angle)
∠DFC = ∠FBM (Alternate interior angle)
∴ By ASA congruence rule
∆MFB ≅ DFC
Now, in triangle CAM
E and F are the mid-points of AC and CM respectively
∴ EF = 1/2 (AM)
EF = 1/2 (AB – MB)
EF = 1/2 (AB-CD)
Hence, option D is correct
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