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Question

In the given figure, if AB = BC and BAO=BCO=90, then which of the following is true?


A
ABOCBO by RHS postulate
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B
ABOCBO by ASA postulate
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C
OA = OC
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D
If ABO=60 then, CBO=60.
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Solution

The correct options are
A ABOCBO by RHS postulate
C OA = OC
D If ABO=60 then, CBO=60.


In ABO and CBO

(i) BAO=BCO=90 ........ (given)

(ii) BO = BO .........(common side)

(iii) AB = BC........ (given)

ABOCBO ........ (RHS Postulate)
OA = OC.......(cpct)
ABO=CBO ........(cpct)

If ABO=60 then, CBO=60.


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