1. **Problem 1: Find the length of segment QV given TQ = 40 units in a diamond-shaped quadrilateral with perpendicular diagonals.** 2. The diagonals of a rhombus (diamond shape) are perpendicular and bisect each other. 3. Since TQ = 40 units, and R is the intersection of diagonals, TQ is twice TR, so $TR = \frac{40}{2} = 20$ units. 4. Because the diagonals bisect each other, QR = TR = 20 units. 5. The segment QV is the sum of QR and RV. Since RV = TR (because diagonals bisect), $RV = 20$ units. 6. Therefore, $QV = QR + RV = 20 + 20 = 40$ units. 7. **Answer: 40 units.** 8. **Problem 2: Will lines p and m eventually intersect?** 9. Lines p and m are parallel lines in the same plane (coplanar) and do not intersect. 10. Kevin says they will intersect, but this is incorrect because parallel lines never intersect. 11. **Answer: No, because they are parallel.**