Question

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.

Explanation:

Step1: Recall geometric postulates

Through any two - points, a line can be drawn. So the statement "No line can be drawn through any pair of the points" is false.

Step2: Analyze collinearity

Three non - collinear points do not lie on the same line. From the figure, points R, S, and T are not collinear, so one line cannot be drawn through all three points.

Step3: Recall plane - point relationship

Through any three non - collinear points, exactly one plane can be drawn. Since R, S, and T are three non - collinear points, one plane can be drawn so it contains all three points. And two planes cannot be drawn such that each one contains all three non - collinear points.

Answer:

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