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Part 1
In the diagram shown to the​ right, GH and KM are perpendicular bisectors of the chords they intersect. What can you conclude about the center of the​ circle? Justify your answer.
Upper H
Upper M
Upper G
Upper K
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Part 1
Choose the correct answer below.
A.
The center is at the intersection of GH and​ KM, because if a chord is the orthogonal bisector of another​ chord, then the first chord is a diameter. Two diameters intersect at the center of a circle.
B.
The center is between the quadrilateral formed by the​ chords, because ModifyingAbove KGM with arc and ModifyingAbove GMH with arc are major arcs and include the center of the circle.
C.
The center is at the intersection of GH and​ KM, because if a chord is the orthogonal bisector of another​ chord, then the first chord is a radius. Two radii intersect at the center of a circle.
D.
The center is outside the quadrilateral formed by the​ chords, because ModifyingAbove KGM with arc and ModifyingAbove GMH with arc are minor arcs and include the center of the circle.



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