Question

identifying objects which statements are true based on the diagram? (check all that apply) ☐ points a, b, and u are in two planes. ☐ point p is not in a plane. ☐ plane t contains point c. ☐ points c, d, and e are noncollinear. ☐ the line containing points f and g lies on plane t. ☐ the line containing points f and h lies on plane u.

Explanation:

To solve this, we analyze each statement using geometric principles (points, planes, coplanarity, collinearity):

1. Points A, B, and H: H is not on either plane (from diagram), so false.
2. Point H in a plane?: H is outside both planes, so true.
3. Plane R contains point C?: C is on plane P (horizontal), not R (vertical), so false.
4. Points C, D, E collinear?: They lie on plane P, but no line connects all three (D is between A and E? No, C is separate), so false.
5. Line FG and G in plane R?: G is on plane R, and F is on R (vertical plane), so the line through F and G is in R, true.
6. Line FG and H in plane R?: H is not in plane R, so false.

Answer:

• Point H is not in a plane (checked: true)
• The line containing points F and G is in plane R (checked: true)

(Mark these two statements as true.)