Question

Prove that -The chords corresponding to congruent arcs of a circle are congruent. with diagram ​

Answer 1

Answer:

In ΔABC and ΔDBE,

side AB ≅ side DB ...[Radii of the same circle]

side BC ≅ side BE ...[Radii of the same circle]

∠ABC ≅ ∠DBE ...[Measure of congruent arcs]

∴ ∆ABC ≅ ∆DBE ...[SAS test of congruency]

∴ chord AC ≅ chord DE ...[Corresponding sides of congruent triangles]

Step-by-step explanation:

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