6
QuizMultiple Choice

Euclidean and Non-Euclidean Geometries

Question 6 • Common Core Geometry A-CR

Which postulate explains why a tripod will not tip over?

Answer
A
A line contains at least two points.
B
A plane contains at least three noncollinear points.
C
Space contains at least four noncoplanar points.
D
If two planes intersect, then their intersection is a line.

Explanation

A tripod’s three feet make three noncollinear points. The postulate says that a plane contains at least three noncollinear points, so those feet determine a supporting plane and help keep the tripod from tipping. The correct choice is “A plane contains at least three noncollinear points.”

AI-written and checked against the verified answer.

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