ABC is an isosceles triangle with AB = AC, D is the mid-point of base BC. a) Is ΔABD congruent to ΔACD? Why? b) State the three pairs of matching parts you use to arrive at your answer. (diagram)
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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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