Homothetic Triangles

Homothetic Triangles

Triangles are homothetic if one can fit exactly over the other by a dilation.


  • In homothetic triangles, the corresponding sides have proportional lengths and their corresponding angles are congruent.
  • Homothetic triangles are similar triangles, but not all similar triangles are necessarily homothetic.


In the figure below, the triangles ABC and A’B’C’ are homothetic, as there is a dilation of centre O that maps one to the other.


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