Practice: The Hinge Theorem

Consider triangles 𝐴𝐵𝐶 and 𝐷𝐸𝐹 in the figure.

Without completing any calculations, use the hinge theorem to determine whether 𝐷𝐹 is greater than, less than, or equal to 𝐴𝐶.

  • A𝐷𝐹 and 𝐴𝐶 are equal.
  • B𝐷𝐹 is greater than 𝐴𝐶.
  • C𝐷𝐹 is less than 𝐴𝐶.

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