In the figure given below, ABC is a triangle with AB = BC and D is an interior point of the triangle ABC such that ∠DAC = ∠DCA.

Consider the following statements:

1. Triangle ADC is an isosceles triangle.

2. D is the centroid of the triangle ABC.

3. Triangle ABD is congruent to the triangle CBD.
Which of the above statements are correct?

Mathematics 2017 CDS Elementary Mathematics 2017 CDS 2017

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