1. **Problem Statement:** Determine the truth value of the following statements based on the given 3D figure with two parallelograms (planes) and points labeled as described. 2. **Understanding the terms:** - *Collinear points* lie on the same straight line. - *Coplanar points* lie on the same plane. - Points can be non-collinear but still coplanar if they lie on the same plane but not on the same line. - Points are *non-coplanar* if they do not lie on the same plane. 3. **(a) Points P, Q, and Y are non-collinear and non-coplanar:** - P and Y lie on the top plane (JHPY). - Q lies on the bottom plane (DQXR). - Since Q is on a different plane than P and Y, points P, Q, and Y are non-coplanar. - Also, since they are not all on the same line, they are non-collinear. - Therefore, the statement is **True**. 4. **(b) JH and JR are coplanar:** - JH is a segment on the top plane (JHPY). - JR connects point J on the top plane to R on the bottom plane. - Since JR connects two different planes, it is not contained entirely in the top plane. - Therefore, JH and JR are **not** coplanar. - The statement is **False**. 5. **(c) Point D is on the plane JHP:** - Plane JHP is the top plane containing points J, H, and P. - Point D is on the bottom plane (DQXR), different from the top plane. - Therefore, point D is **not** on the plane JHP. - The statement is **False**. **Final answers:** (a) True (b) False (c) False