Mathematics
In quadrilateral ABCD, AB = AC and BD = CD, then AD bisects :
angle ADC
angle BAD
angle BAC
angle ABC
Triangles
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Answer
In △ BAD and △ CAD,
⇒ AB = AC (Given)
⇒ AD = AD (Common side)
⇒ BD = CD (Given)
∴ △ BAD ≅ △ CAD (By S.S.S. axiom)
We know that,
Corresponding parts of congruent triangles are equal.
∴ ∠BAD = ∠CAD.
∴ AD bisects ∠BAC.
Hence, Option 3 is the correct option.
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