I need help with a geometry problem

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jaydeb7

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Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle.Compare the triangles made by two circles with different radii. .
 
jaydeb7 said:
Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle.Compare the triangles made by two circles with different radii. .
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so far i have drawn two circles for a visual representation. but i don't know how to explain how the arcs are intersected by congruent chords.
 
First, what do you mean by "congruence" of two arcs? Is it just that they have the same length or does one have to "fit" on the other (so they have the same length and radius)?
 
jaydeb7 said:
Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle.Compare the triangles made by two circles with different radii. .
Click to expand...
Read this link. On that page the chord of the circle has length \(\displaystyle \bf c\). If one scrolls down that page it is easy to see that if the chords have the same length but radii arr different the the arc lengths must be different.
 
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