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Math Question

Consider \( \triangle A B C \) and \( \triangle D E F \), both of which lle in the \( x y \)-coordinate plane. The pre-image, \( \triangle A B C \), is rotated \( 180^{\circ} \) about the point \( (0,2) \) to obtain the image, \( \triangle D E F \). Jullo concludes that both of these triangles are congruent. Based on Julio's conclusion, which of the following pairs of angles or pairs of sides of the triangles must be congruent? Select all that apply. \( \angle A \cong \angle F \) \( \angle C \cong \angle D \) \( \angle B \cong \angle E \) \( \overline{A B} \cong \overline{D F} \) \( \overline{A C} \cong \overline{D F} \) \( \overline{B C} \cong \overline{E F} \)

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