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8. If two equal chord of a circle intersect within the circle , prove that the segment of one chord isequal to corresponding segments of the other chord.

Answer»

Answer:Given; circle with centre O in which chords AB and CD intersect at M.To Prove: AM = DM and CM = BM

In ΔAOM and ΔDOMOA = OD (radii)OM = OM (common side)So, ΔAOM ≈ Δ DOMHence, AM = DM provedIt is given that AB = CDSo, AB – AM = CD – DMOr, CM = BM provedplease like the solution 👍 ✔️



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