Question
ABC is an isosceles triangle with AB=AC. Prove: Â [4 MARKS]
(i) ΔADB≅ΔADC
(ii) ∠BAD=∠CAD
(iii) BD=CD
Answer: Option A
:
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Properties: 1 Mark
Each proof: 1Â Mark
In ΔADB and ΔADC
AB=AC Â Â [Given]
∠ADB=∠ADC=90∘  [Given]
AD=AD Â [common]
Hence, ΔADB≅ΔADC [By RHS congruence rule…….(1)]
From (1), ∠BAD=∠CAD  [Corresponding parts of congruent triangles]
From (1), BD=DC Â [Corresponding parts of congruent triangles]
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