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We are tasked with proving that \(\triangle ABE \cong \triangle CDE\), given that \(\overline{BD}\) and \(\overline{AC}\) bisect each other at point \(E\). Here's a structured solution:

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### Proof:
**Step 1: \(\overline{BD}\) and \(\overline{AC}\) bisect each other**  
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Prove that triangle ABE is congruent to triangle CDE given that BD and AC bisect each other.

Explore the step-by-step solution to prove that triangle ABE is congruent to triangle CDE, given that BD and AC bisect each other. This proof uses key geometry concepts like the SAS Congruence Criterion and the Midpoint Theorem, suitable for students in Grades 9-10.

Math Problem Statement

Solution

Proof:

Step 1: $\overline{BD}$ and $\overline{AC}$ bisect each other

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