Question

if given figure OA = OB and OD = OC then prove that ∆ AOD≈ ∆ BOC and AD || BC.​

Answer 1

Question :-

In the given figure, OA = OB and OD = OC. Show that (i) ∆AOD ≅ ∆BOC and (ii) AD || BC

Solution :-

(i) ∆AOD ≅ ∆BOC

In ∆AOD and ∆BOC

OA = OB (Given)

OD = OC (Given)

∠AOD = ∠COB (Vertically Opposite Angle)

∴ ∆AOD ≅ ∆BOC

(ii) AD || BC

∵ ∆AOD ≅ ∆BOC

∴ AD || BC (CPCT)

Answer 2

▬▬▬▬ $\huge\mathfrak{Answer}$ ▬▬▬▬

Proof :-

1. Refer to the attachment