Question

In the figure given below, AO = BO and angle A = angle
B.
a. Is angle AOC = angle BOD? Why?
b. Is triangle AOC congruent to triangle BOD? Give reasons.
c. Is angle ACO = angle BDO? Why?​

Answer 1

a) ∠AOC = ∠BOD (Vertically Opposite Angles) - ①

b) In ∆ AOC AND ∆ BOD

∠OAC = ∠OBD (Given)

AO = BO (Given)

∠AOC = ∠BOD (From - ①)

Therefore, ∆AOC ≅ ∆BOD by ASA Congruence Rule.

c) ∠ACO = ∠BDO by CPCT

Full Forms -

• ASA - Angle-Side-Angle Congruence Rule

• CPCT - Congruent Parts Of Congruent Triangles.

Hope It Helps

Answer 2

Answer:

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