4. In Fig. 8.39, OA = OB, OC = OD, angle AOB =ANGLE COD , prove that AC = BD
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Given:OA=OB, OC=OD, angleAOB=angleCOD
To prove:AC=BD
Proof:
angleAOB=angleCOD Given
On subtracting COB from both sides
angleAOC=angleBOD...........1
In triangles AOC & BOD
OA=OB Given
OC=OD Given
angleAOC=angleBOD From 1 ∆AOC is congruent to ∆BOD [Using SAS rule]
Therefore, AC=BD CPST
Hence Proved.
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