If $\Delta PRQ \cong \Delta ZXY,$ then in $\Delta XYZ,$ which angle is equal to $\angle R$?

  • A
    $\angle Z$
  • B
    $\angle R$
  • C
    $\angle Y$
  • D
    $\angle X$

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$ABC$ is a right-angled triangle with $AB = AC$. The bisector of $\angle A$ meets $BC$ at $D$. Prove that $BC = 2 AD$.

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