Question

use the diagram to write an example of the plane - line postulate. points h and g lie in plane m, so line p lies in plane m. line p contains points h and g, so line p lies in plane m. points k and j line in plane m, so line p lies in plane m. line q contains points k and j, so line q lies in plane m.

Explanation:

Step1: Recall Plane - Line Postulate

If two points of a line lie in a plane, then the entire line lies in the plane.

Step2: Analyze given points and lines

In the diagram, line \(p\) contains points \(H\) and \(G\) which lie in plane \(M\). By the Plane - Line Postulate, line \(p\) lies in plane \(M\). Similarly, line \(q\) contains points \(K\) and \(J\) which lie in plane \(M\), so line \(q\) lies in plane \(M\). But we need to give an example. Since points \(H\) and \(G\) are on line \(p\) and in plane \(M\), we can use this for our example.

Answer:

Points \(H\) and \(G\) lie on line \(p\) and in plane \(M\), so line \(p\) lies in plane \(M\).