Answer:
[tex]\overline{BD}\ and\ \overline{AC}[/tex] bisect each other is sufficient to Prove Δ ABE ≅ Δ CDE
Step-by-step explanation:
Given: (if it is given)
[tex]\overline{BD}\ and\ \overline{AC}[/tex] 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
