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Four points are always coplanar if they:Check all that apply.A.lie on the same line.B.lie on different planes.C.lie on different lines.D.lie in the same plane.

Question

Four points are always coplanar if they:Check all that apply.A.lie on the same line.B.lie on different planes.C.lie on different lines.D.lie in the same plane.

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Solution

A. False - If four points lie on the same line, they are collinear, not necessarily coplanar.

B. False - If four points lie on different planes, they are not coplanar. Coplanar points must lie on the same plane.

C. True - Four points can lie on different lines and still be coplanar, as long as those lines are in the same plane.

D. True - If four points lie in the same plane, by definition, they are coplanar.

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