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SSS Criteria for Congruency

Then,Answer: ...

Question

Then,
Answer: DC produced bisects BC at right angle.
If true then enter 1 else if False enter 0

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Solution

Let $△ A B C$ be an isosceles.
$A B = A C ⟶ (1)$
Hence $△ D B C$ is isosceles,
$D B = D C ⟶ (2)$
In $△ A B D$ and $△ D B C, A B = A C [From (1)], B D = D C (From (2)) A D = A D (common)$
$t h e r e f o r e △ A B D ≅ △ A C D (SSS congruence rule.)$
The statement is false.

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