Question

which statements are true based on the diagram? check all that apply.
points a, b, and d are on both planes.
point h is not on plane r.
plane p contains point f.
points c, d, and a are noncollinear.
the line containing points f and g is on plane r.
the line containing points f and h is on plane r.

Explanation:

1. Points A, B, and D are on both planes: Planes P and R intersect along line AB, and D is on that line, so A, B, D lie on both planes. True.
2. Point H is not on plane R: From the diagram, H is outside plane R. True.
3. Plane P contains point F: Point F is on plane R, not P. False.
4. Points C, D, and A are noncollinear: C, D, A don’t lie on a single line (D and A are on the intersection, C is on P but not colinear with D - A). True.
5. The line containing points F and G is on plane R: F and G are on plane R, so their line is on R. True.
6. The line containing points F and H is on plane R: H is not on plane R, so the line can’t be on R. False.

Answer:

• Points A, B, and D are on both planes.
• Point H is not on plane R.
• Points C, D, and A are noncollinear.
• The line containing points F and G is on plane R.