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ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see the figure).

(a) State three pairs of equal parts in the ΔABD and ΔACD.

(b) Is ΔABD ≅ ΔACD? If so why?

1 Answer

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Best answer

Given,

AB = AC

and BD = CD

(a) In ΔABD and ΔACD,

AB = AC  [given]

BD = CD  [given]

AD = AD   [common side]

(b) Yes, by SSS congruence criterion,

ΔABD ≅ ΔACD

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