Question

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

Answer 1

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