Question

OA = OB, OC = OD, ZAOB = ZCOD.
Prove that AC = BD.


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Answer 1

Answer:

ΔAOC ≅ Δ BOD

By using the SAS congurence property .

By using the corresponding sides of the congurent triangle .

Therefore 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 .