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Math Question

Let \( \angle C \cong \angle C^{\prime} \) and \( \angle P O C \cong \angle P^{\prime} O^{\prime} C^{\prime} \). Let \( O^{\prime \prime} \) be a point on \( C O \) so that \( C O^{\prime \prime}=C^{\prime} O^{\prime} \). Let \( P^{\prime \prime} \) be the point on \( C P \) so that the dilation of \( P \) is represented by \( P^{*} \). Which of the following statements is true? (A) \( \triangle C O P \cong \Delta C^{\prime} O^{\prime} P^{\prime} \) (B) \( \quad C P \cong C P \) (C) \( \Delta C^{\prime} O^{\prime} P \) is a glide reflection of \( \triangle C O P \), whereas \( \Delta C O^{\prime \prime} P^{\prime} \cong \Delta C^{\prime} O^{\prime} P^{\prime} \). (D) \( \triangle C O^{\prime \prime P} \) " is a dilation of \( \triangle C O P \) with center \( C \) and scale factor \( r=\frac{c o f}{x^{2}}=\frac{m}{c o} \).

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