Multiple choice

If ${C}{1}$ and ${C}{2}$ and ${r}{1}$ and ${r}{2}$ are respectively the centroids and radii of incircles of two congruent triangles, then which one of the following is correct?

  1. ${C}_{1}$ and ${C}_{2}$ are the same point and ${r}_{1}={r}_{2}$
  2. ${C}_{1}$ and ${C}_{2}$ are not necessarily the same point and ${r}_{1}={r}_{2}$.
  3. ${C}_{1}$ and ${C}_{2}$ are the same point and ${r}_{1}$ is not necessarily equal to ${r}_{2}$
  4. ${C}_{1}$ and ${C}_{2}$ are not necessarily the same point and ${r}_{1}$ is not necessarily equal to ${r}_{2}$
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A Correct answer