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?
1
1 and 2 only
2
2 and 3 only
3
1 and 3 only
4
1, 2 and 3