Question 9:
ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that AO/BO = CO/DO.
Answer:
Draw a line EF through point O, such that EF ∥ CD
In ΔADC, EO ∥ CD
By using basic proportionality theorem, we obtain
AE/ED = AO/OC (1)
In ΔABD, OE ∥ AB
So, by using basic proportionality theorem, we obtain
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