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Question
ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see figure).
- State three pairs of equal parts in the triangles ABD and ACD.
- Is ∆ABD ≅ ∆ACD. If so why?
Solution
a. In ∆ABD and ∆ACD,
AD = AD ......(Common)
AB = AC ......(Given)
BD = CD ......(D is mid-point of BC)
b. Yes, by using (a) part, we get
∆ABD ≅ ∆ACD ......(SSS criterion)
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