If three points are collinear, they are also coplanar.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
If three points are collinear, they are also coplanar.
A. True
B. False
SUBMIT
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Solution
Analyzing the Statement
- Definition of Collinear: Three points are said to be collinear if they lie on the same straight line.
- Definition of Coplanar: Points are coplanar if they lie on the same geometric plane.
Understanding the Relationship
- Collinearity and Coplanarity: If three points are collinear, they can be considered to lie on an infinite number of planes, as any three points can define a plane. However, since they establish a line, they inherently lie within the context of at least one plane.
Conclusion
- Verification of the Statement: Since three collinear points will always exist on the same line, and any line lies within an infinite number of planes, it is accurate to conclude that collinear points are also coplanar.
Final Answer
Thus, the statement is A. True. Collinear points are indeed also coplanar.
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