Question

Plz explain your answer.

Answer 1

Answer:

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

Step-by-step 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