Question

Which statements are true based on the diagram? Check all that apply.

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.
PLEASE HELP ME

Answer 1

1,2,4,5

Explanation:

......

Answer 2

i) TRUE

The intersection of planes S and A is the line f, which contains points N and K.

f is in both planes S and A, so points N and K are on planes A and S.

ii) FALSE

the intersection of planes B and S is line g. So all points in both B and S must be points on line g.

M is not a point of g, so M cannot be in S.

iii) TRUE

from the picture, the intersection of lines n and g is point P.

iv)TRUE

P and Q determine line g, so any point collinear to P and Q must be a point on line g, but M is not.

So M is not collinear to P and Q

v)FALSE

Clearly, line d intersects plane A at point L, not N.