Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.

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Answer:One plane can be drawn so it contains all three points.


Step-by-step explanation:

Points  R,S,T are given .

 If the three  points are co-linear, there are infinitely many planes through the line that contains the three points.

If we  have three distinct points in 3-space then there is a plane that contains these three points.

The third statement holds true for three points R,S and T.

One plane can be drawn so it contains all three points. Statement (c) is correct.

Further Explanation:

Given:

The options are as follows,

(a). No line can be drawn through any pair of the points.

(b). One line can be drawn through all three points.

(c). One plane can be drawn so it contains all three points.

(d). Two planes can be drawn so that each one contains all three points.

Explanation:

A point is a location on the graph or at any surface.

The points that are on the same line are known as collinear points.

Plane extends in two or three dimensions.

The collinear points lie on the same plane.

The points are R, S, and T.

One plane can be drawn so it contains all three points. Statement (c) is correct.

Statement (a) is not correct.

Statement (b) is not correct.

Statement (c) is correct.

Statement (d) is not correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Three dimensions

Keywords: planes, geometric figure, these points, three points, one plane, two plane, no line, drawn, pair, any pair, statements, true, the line, drawn, point C, lie, point D.