Q). In the adjoining figure, AB = AC and D is mid-point of BC. Use SSS rule of congruency to show that

(i). A B D A C D
(ii). AD is bisector A .
(iii). AD is perpendicular to BC.

This is the answer

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In triangle ABD and triangle ACD,
AB=AC [Given]
BD=CD[D is the mid point of BC]
AD=AD[Common ]
By SSS congruence criterion,
​Now we have to prove that angle BAD=CAD
Since we have proved triangle ABD and triangle ACD congruent their corresponding parts will also be equal.....
So, angle BAD=angle CAD
Similarly, angle ADB=angle ADC [cpct]

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