he diagram shows several planes, lines, and points.
Vertical plane P intersects horizontal plane R at line f. Vertical plane T intersects horizontal plane R are line g. Line h intersects line f at point B and intersects line g at point A. Line k extends vertically through plane R. Line l extends horizontally through the bottom half of plane P. Point C is on the lower half of the left plane is on line l.
Which statement is true about line h?
Line h intersects line f at two points, A and B.
Line h is the intersection of planes R and T.
Line h intersects plane P at point C.
Line h has points on planes R, P, and T.
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The correct answer to this question is option 4. Line h has points on planes R, P, and T.
Step-by-step explanation:
- For option (a), we can make out from the diagram that the line h intersects line f at only one point, that is point B.
- So, this statement is FALSE.
- For option (b), from the diagram, we can notice that the intersection point of the planes R and T is the line g and not line h.
- So, this statement is FALSE.
- For option (c) from the given diagram, we can notice that the intersection point of line 'h' and the plane P is point B and not at point C.
- So, this statement is also FALSE.
- For option (d) we can make out that line h has the point B, which lies on both the planes R and P. Moreover, line h has the point A that lies on the plane T.
- So, line h has all the given points that lie on the planes R, P, and T.
- Hence, this statement about line 'h' is correct.
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