Question

in figure OA =OB,OC=OD and angle AOB=angle COD prove that AC=BD​

Answer 1

Answer:

AC=BD

Step-by-step explanation:

Given ∠AOB=∠COD

∠AOB−∠COB=∠COD−∠COB

∴∠AOC=∠DOB

In ΔAOC and ΔDOB

i)OA=OB(Given)

ii)OC=∠OD (Given)

iii)∠AOC=∠DOB (Proved above)

∴ΔAOC≅∠DOB

(SAS Axiom)

∴AC=BD