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Question
what figure results from a horizontal cross section of a sphere?
rectangle
triangle
circle
trapezoid
A sphere is a three - dimensional object where every point on its surface is equidistant from its center. When we take a cross - section (a slice) of a sphere, regardless of the orientation (horizontal, vertical, or at any angle), the set of points in the cross - section that are on the sphere will form a circle. This is because the distance from the center of the sphere to any point on the cross - section (which is also the radius of the circle formed) is constant. A rectangle, triangle, and trapezoid have straight sides and angles, which are not characteristic of the smooth, curved surface of a sphere's cross - section.
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Circle