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QuizMultiple Choice

Euclidean Geometry — Quiz

Question 1 • Geometry: Concepts and Connections

Which statement is true about the geometric figure that can contain these points?

Answer
A
One plane can be drawn so it contains all three points.
B
No line can be drawn through any pair of the points.
C
Two planes can be drawn so that each one contains all three points.
D
One line can be drawn through all three points.

Explanation

Any three points can be contained in at least one plane. If the points are not on the same line, exactly one plane contains them; if they are on the same line, multiple planes do. So the statement that one plane can be drawn to contain all three points is always true: choice D.

AI-written and checked against the verified answer.

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