Question

planes a and b both intersect plane s. which statements are true based on the diagram? select three options. points n and k are on plane a and plane s. points p and m are on plane b and plane s. point p is the intersection of line n and line g. points m, p, and q are noncollinear. line d intersects plane a at point n.

Explanation:

Step1: Check first statement

Points N and K are in the intersection region of plane A and plane S, so this statement is true.

Step2: Check second statement

Points P and M are on plane B but not on plane S, so this statement is false.

Step3: Check third statement

Point P is where line n and line g meet, so this statement is true.

Step4: Check fourth statement

Points M, P, and Q do not lie on the same straight - line, so they are non - collinear and this statement is true.

Step5: Check fifth statement

Line d intersects plane A at point L, not N, so this statement is false.

Answer:

Points N and K are on plane A and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.