Question

HELPP!!! This question is very hardd :((

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.

Hint:
It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.
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.

Answer 1

It should be noted that the arcs intersected by these chords are not congruent.

How to illustrate the information?

Let r1 and r2 be the radii of the two different circles with centrer O and O' respectively.

Then, we also have isosceles triangles AOB and COD.

AO = OB = r1

CO = O'D = r2

Let us assume that a r1 < r2.

We can then see that arc (AB) is intersected by AB is greater than arc (CD( intersected by the chord CD.

Therefore, arc AB is less than arc CD.

Therefore, it should be noted that the arcs intersected by these chords are not congruent.

Learn more about congruence on:

brainly.com/question/2938476

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