Question

OA=OB ,OC=OD,angle AOB=angle COD. Prove that AC=BD.

Answer 1

This is the correct prove.
Ok

Answer 2

Answer:

ΔAOC ≅ Δ BOD

By using the SAS congurence property .

By using the corresponding sides of the congurent triangle .

Therefore [tex][/tex]AC = BD .

Step-by-step explanation:

In the ΔAOC and Δ BOD

OA = OB

∠AOB = ∠COD

It can be written as

∠AOC + ∠COB = ∠COB + ∠BOD

∠AOC = ∠BOD

OC = OD

Thus

ΔAOC ≅ Δ BOD

By using the SAS congurence property .

Thus

AC = BD

(By using the corresponding sides of the congurent triangle .)

Therefore AC = BD .