UPSC CDS Math Triangles Questions

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Question : 37 of 68
 
Marks: +1, -0
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 ?
[2017 CDS-I]
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