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If points R and S are contained in a plane, then is entirely contained in that plane.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

If points R and S are contained in a plane, then

is entirely contained in that plane.
A. True
B. False

SUBMIT
arrow_back PREVIOUS

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Solution

To determine whether the statement "If points R and S are contained in a plane, then the line segment RS is entirely contained in that plane" is true or false, we need to consider the properties of points and lines in a geometric plane.

  1. Understanding Geometric Properties: In a geometric context, any two distinct points define a line segment. This line segment consists of all points that lie between the two points, including the endpoints themselves.

  2. Planes and Line Segments: A plane is a two-dimensional flat surface that extends infinitely in all directions. If both points R and S are contained within this plane, the line segment connecting these two points, RS, will also lie entirely within the same plane due to the definition that a straight line (and consequently a line segment) defined by two points must lie in the same plane that contains those points.

  3. Conclusion: Since the line segment RS is defined by the points R and S, and both points are in the same plane, it follows that line segment RS must also be contained within that plane.

Therefore, the answer to the question is:

Final Answer

A. True

This problem has been solved

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