This question is only for mods,stars ,teachers and other trusted users in the adjoining figure, ABCD is a trapezium in which AB || DC.
If M and N are the mid points of AC and BD respectively, prove that MN =1/2(AB-CD).
[Hint: join CN and produce it to meet AB at E.
Then, △CDN is congruent to
△EBN. So,CD =EB and CN =NE .
MN,=1/2 AE (why?)=1/2 (AB-EB) =1/2(AB-CD)].
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If M and N are the mid points of AC and BD respectively, prove that MN =1/2(AB-CD).
[Hint: join CN and produce it to meet AB at E.
Then, △CDN is congruent to
△EBN. So,CD =EB and CN =NE .
MN,=1/2 AE (why?)=1/2 (AB-EB) =1/2(AB-CD)].
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