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Question

In the given figure, if BAD=CAD,ABD=ACD, then which of the following is true ?


A

ABDACD by SAA postulate

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B

ABDACD by AAS postulate

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C

AB = AC

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D

BD = CD

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Solution

The correct options are
B

ABDACD by AAS postulate


C

AB = AC


D

BD = CD


In ABD and ACD

(i) ABD=ACD ........(given)

(ii) BAD=CAD .....(given)

(iii) AD = AD ............(common)

(iv) ABDADC ........(AAS Postulate)

(v) AB = AC ......(cpct)

(vi) BD = CD .......(cpct)

Hence (B), (C) and (D)


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