Read the proof. Given: BD bisects AE Prove: △ABC ~ △EDC

Question

asked Sep 10, 2023 29.5k views

1 Answer

Vladimir Tsyshnatiy · Answer 1 · 2023-09-14T21:20:43+0000

Answer

Given:

BD bisects AE

∠A ≅ ∠E

To prove that:

$\Delta ABC\cong\Delta EDC$

Consider the figures:

Since BD bisects AE, it follows that CA ≅ CE and CBA ≅ CD. (Two sides)

Therefore, the other side of the triangles AB ≅ ED

∠A ≅ ∠E, that is ∠CAB ≅ ∠CED

∴ ΔABC ≅ ΔEDC