Given: AB is a diameter of circle z, and points j and k lie

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Fouad1013

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Given: AB is a diameter of circle z, and points j and k lie on circle z with arc AJ = arc BK. Discover and prove something about line JK.

There are two cases: one with j and k on the same side of a circle, and the other when they are on opposite sides. Pleese help me figure this out. Thank you!
 
For the same side case look for congruent alternate interior angles.

For the other case, does KJ pass thru the center? Why?
 
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