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In the figure given below, ABC is a tria...

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

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

A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

1, 2 and 3

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