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 :
1Triangle ADC is an isosceles triangle.
2D is the centroid of the triangle ABC.
3Triangle ABD is congruent to the triangle CBD.
Which of the above statements are correct ?

Question

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 :

1Triangle ADC is an isosceles triangle.
2D is the centroid of the triangle ABC.
3Triangle ABD is congruent to the triangle CBD.

Which of the above statements are correct ?

Accepted Answer

Option C: 1 and 3 only