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Question

In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

A
ADBADC by RHS postulate
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B
ADBADC by SSS postulate
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C
AD bisects BAC
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D
If BAC=80, then ABD=80
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Solution

The correct options are
B ADBADC by SSS postulate
C AD bisects BAC

In ABD and ACD

(i) AB = AC .........(given)

(ii) BD = CD .........(given)

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

ABDACD ......(SSS Postulate)

(iv) BAD=CAD .....(CPCT)

AD bisects BAC

(v) ABD=ACD .....(CPCT)

If BAC=80, then ABD=ACD=50 (Sum of angles in a triangle is 180)


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