In the diagram below, DE || KL. Are the triangles similar? If so, write the correct similarity statement. Use mathematics to explain your reasoning.
SHOULD BE IN PROOF FORMAT

In the diagram below DE KL Are the triangles similar If so write the correct similarity statement Use mathematics to explain your reasoning SHOULD BE IN PROOF F class=

Respuesta :

We can conclude that, the triangles are not similar because SSA is not a similarity theorem.

What are Similar Triangels?

Similar triangles have the same shape but different sizes, which means their corresponding angles are equal but their corresponding sides are proportional.

The image given shows that the two triangles have:

  • 1 non-included congruent angles - ∠DFE ≅ ∠KFL (vertical angles)
  • two pairs of proportional sides - 15/5 = 12/4 = 3

This gives us a somewhat SSA. However, SSA is not a similarity theorem. The information given is not enough to prove both triangles are similar.

Therefore, we would conclude that, the triangles are not similar because SSA is not a similarity theorem.

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