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प्रश्न
In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO; show that: ΔAOB is similar to ΔCOD.
उत्तर
Since AO = 2CO and BO = 2DO,
`(AO)/(CO) = 2/1 = (BO)/(DO)`
Also, ∠AOB = ∠DOC ...(Vertically opposite angles)
So, ΔAOB ∼ ΔCOD ...(SAS criterion for similarity)
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