Math Question

Lisa wants to prove that the diagonals of a parallelogram bisect each other. To start her proof, she draws parallelogram \( A B C D \) with diagonals \( \overline{A C} \) and \( \overline{B D} \) intersecting at point \( E \).
Complete the proof that diagonals \( \overline{A C} \) and \( \overline{B D} \) bisect each other.
Since \( A B C D \) is a parallelogram, \( \overline{A D} \| \overline{B C} \). So, by the
-. \( \angle D A E \cong \angle B C E \) and \( \angle A D E \cong \) - Also,
since opposite sides of a parallelogram are congruent,
-.So, by the
- Congruence Theorem,
Since corresponding parts of congruent triangles are congruent, \( \overline{A E} \cong \overline{C E} \) and
- So, the diagonals of parallelogram \( A B C D \) bisect each other.



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