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In the figure given below, AD is a diame...

In the figure given below, AD is a diameter of a circle with centre O.If AB ll CD, prove that AB=CD

Text Solution

Verified by Experts

We can join `OB` and `OC`.
Now, in `Delta OAB and Delta ODC`
`OA = OD` (Both are radius)
`OB =OC ` (Both are radius)
`/_AOB = /_DOC` (vertically opposite angles)
`:. Delta OAB ~=Delta ODC` (By SAS congruency)
`:. AB = DC`
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