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
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.
-
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.
-
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.
-
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
Similar Questions
If points R and S are contained in a plane, then is entirely contained in that plane.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Is the following statement true or false?The intersection of a plane and a line segment can be a ray.truefalseSubmit
A line can be perpendicular to both the Plane at the same time(1 Point)TrueFalse
If three points are collinear, they are also coplanar.A.TrueB.FalseSUBMITarrow_backPREVIOUS
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.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.