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Problem 298: Intersecting Circles, Common Chord, Secant, Midpoint, Congruence. Level: High School, College, SAT Prep.

In the figure, the congruent circles O and Q intersect at A and B. If C is the midpoint of chord AB, prove that C is the midpoint of line DE.
 

Congruent circles, Chord, Midpoint 

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