Question

planes x and y and points c, d, e, and f are shown. which statement is true about the points and planes? the line that can be drawn through points c and d is contained in plane y. the line that can be drawn through points d and e is contained in plane y. the only point that can lie in plane x is point f. the only points that can lie in plane y are points d and e.

Explanation:

Step1: Analyze the first option

Points \(C\) and \(D\): Point \(C\) is not in plane \(Y\). So, the line through \(C\) and \(D\) is not contained in plane \(Y\).

Step2: Analyze the second option

Points \(D\) and \(E\): Both \(D\) and \(E\) are in plane \(Y\). A line passing through two points in a plane is contained in that plane.

Step3: Analyze the third option

Point \(F\): Point \(F\) is in plane \(X\), but there are other points (not shown in the limited - given points) that can also be in plane \(X\).

Step4: Analyze the fourth option

Plane \(Y\): There are infinitely many points in plane \(Y\), not just \(D\) and \(E\).

Answer:

The line that can be drawn through points \(D\) and \(E\) is contained in plane \(Y\).