Congruent chords that subtend incongruent arcs

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I was fairly weak in synthetic plane geometry, so I've been working with (Givental)Kiselev's book. On the first problem set, I've been stuck for on finding an example of congruent chords that subtend incongruent arcs.



Is this even possible on congruent circles, or am I to show that a congruent chord subtends different arcs on incongruent circles based on circle radial size and curvature?




euclidean-geometry plane-geometry




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    With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
    – Aretino
    Jul 17 at 19:56














up vote
1
down vote

favorite












I was fairly weak in synthetic plane geometry, so I've been working with (Givental)Kiselev's book. On the first problem set, I've been stuck for on finding an example of congruent chords that subtend incongruent arcs.



Is this even possible on congruent circles, or am I to show that a congruent chord subtends different arcs on incongruent circles based on circle radial size and curvature?




euclidean-geometry plane-geometry




share|cite|improve this question















  • 1




    With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
    – Aretino
    Jul 17 at 19:56












up vote
1
down vote

favorite









up vote
1
down vote

favorite











I was fairly weak in synthetic plane geometry, so I've been working with (Givental)Kiselev's book. On the first problem set, I've been stuck for on finding an example of congruent chords that subtend incongruent arcs.



Is this even possible on congruent circles, or am I to show that a congruent chord subtends different arcs on incongruent circles based on circle radial size and curvature?




euclidean-geometry plane-geometry




share|cite|improve this question











I was fairly weak in synthetic plane geometry, so I've been working with (Givental)Kiselev's book. On the first problem set, I've been stuck for on finding an example of congruent chords that subtend incongruent arcs.



Is this even possible on congruent circles, or am I to show that a congruent chord subtends different arcs on incongruent circles based on circle radial size and curvature?





euclidean-geometry plane-geometry





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 16 at 17:07









AlgebraStudent

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  • 1




    With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
    – Aretino
    Jul 17 at 19:56












  • 1




    With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
    – Aretino
    Jul 17 at 19:56







1




1




With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
– Aretino
Jul 17 at 19:56




With congruent circles you'll get congruent arcs from congruent chords. So you must consider circles with different radii.
– Aretino
Jul 17 at 19:56















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