Similar Triangles

Conjecture 6

There are 8 pairs of similar triangles, which are:
  1. △ DBG ∼ △ CBG
  2. △ DAG ∼ △ CAG
  3. △ BDA ∼ △ BCA
  4. △ DAB ∼ △ DEF
  5. △ DAG ∼ △ DEC
  6. △ DBG ∼ △ DFC
  7. △ DEC ∼ △ CBG
  8. △ DFC ∼ △ CAG


Hint 1 | Hint 2

Congruent triangles are similar.

A parallel to a side of a triangle that intersects the other two sides cuts off a triangle similar to the original triangle.

 Please enable Java for an interactive construction (with Cinderella).