SOLUTION: True of False: All lines intersecting a sphere are tangent to the sphere. Every plane that intersects a sphere creates a great circle. The eastern hemisphere of Earth is con

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Question 593925: True of False:
All lines intersecting a sphere are tangent to the sphere.
Every plane that intersects a sphere creates a great circle.
The eastern hemisphere of Earth is congruent to the western hemisphere of Earth.
The diameter of a sphere is congruent to the diameter of its great circle.
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Answer by jim_thompson5910(35256) About Me  (Show Source):
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All lines intersecting a sphere are tangent to the sphere.

False, a line may intersect a sphere twice.

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Every plane that intersects a sphere creates a great circle.

False, only planes that go through the center of the sphere create create circles.

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The eastern hemisphere of Earth is congruent to the western hemisphere of Earth.

True, they are two equal halves of the sphere.

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The diameter of a sphere is congruent to the diameter of its great circle.

True, the radii of a sphere and any great circle are equal (this can be shown with a drawing). This applies to diameters as well.