AIR MATH

Math Question

The given and prove statements of a proof are shown. Given: Rectangle \( A B C D \) with diagonals \( \overline{A C} \) and \( \overline{B D} \) Prove: \( \overline{A C} \cong \overline{B D} \) Brett wants to prove \( \triangle A B C \cong \triangle D C B \) by the Side-Angle-Side theorem. Then, he will prove \( \overline{A C} \cong \overline{B D} \) by using the fact that corresponding parts of congruent triangles are congruent. Which two pairs of sides must Brett prove congruent in order to prove \( \triangle A B C \cong \triangle D C B \) ? Select the two that apply. A. \( \overline{A B} \cong \overline{D C} \) B. \( \overline{A D} \cong \overline{B C} \) c. \( \overline{A E} \cong \overline{E C} \) D. \( \overline{B C} \cong \overline{C B} \) E. \( \overline{B E} \cong \overline{D E} \)

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