Question

Plz explain your answer.

Answer 1

`\overline{BD}\ and\ \overline{AC}` bisect each other is sufficient to Prove Δ ABE ≅ Δ CDE

Explanation:

Given: (if it is given)

`\overline{BD}\ and\ \overline{AC}` bisect each other, i.e

AE ≅ CE

BE ≅ DE

To Prove:

Δ ABE ≅ Δ CDE

Proof:

In Δ ABE and Δ CDE

AE ≅ CE …………..{ BD and AC bisect each other at E}

∠ AEB ≅ ∠ CED ………….{Vertically opposite angles are equal}

BE ≅ DE ……….{ BD and AC bisect each other at E}

Δ ABC ≅ Δ PQR ….{Side-Angle-Side test} ......PROVED