To determine the truth of the statements based on the diagram, one would need to analyze the position of each point and plane in that diagram. Since I don't have the diagram to refer to, I can guide you on how to evaluate each statement:
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Points A, B, and D are on both planes. - Check if all three points A, B, and D are shown to be on the intersection of both planes.
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Point H is not on plane R. - Verify the position of point H concerning plane R. If point H is outside or does not lie on plane R, this statement is true.
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Plane P contains point F. - Look for point F within the boundaries of plane P. If F is within P, then this statement is true.
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Points C, D, and A are noncollinear. - Determine if points C, D, and A lie on the same straight line. If they do not, the statement is true. If they do, it's false.
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The line containing points F and G is on plane R. - Check if the line passing through points F and G is entirely contained within plane R. If it is, the statement is true.
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The line containing points F and H is on plane R. - Similarly, look at points F and H and see if the line connecting them is also within plane R. If it is, this statement is true.
Once you have analyzed the diagram, you can mark those statements that are accurate based on the positions and relationships of the points and planes.