Congruent Triangles

Conjecture 3

There are three pairs of congurent triangles, which are:
  1. △ DBG ≡ △ CBG
  2. △ DAG ≡ △ CAG
  3. △ BDA ≡ △ BCA





Hint

Two triangles are congruent if the length of each side of the first triangle is equal to the length of corresponding side in the second triangle.

 Please enable Java for an interactive construction (with Cinderella).
Drag free elements (free points (A and B), semi free points (C and D), or even the edge of either circle) to check correctness of the conjecture.