Mathematics
Grade-8
Easy

Question

Identify the congruent angles of the triangle AFC and triangle DFB.

  1. <A =<D, <C=<B, <AFC=<DFB
  2. <A =<B, <C=<D, <AFC=<DFB
  3. <A =<F, <C=<B, <AFC=<DFB
  4. <A =<D, <C=<B, <AFC=<BDF

hintHint:

equal angle front side is also equal

The correct answer is: <A =<D, <C=<B, <AFC=<DFB


    since AC=BD, AF=BF and CF=FD, the triangles are congruent (SSS criterion).
    The corresponding parts of congruent triangles are equal.
    So, ∠A =∠D, ∠C=∠B, ∠AFC=∠DFB

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