1. **Problem Statement:** You are tasked with designing a city layout with four streets: two parallel streets, and two transversal streets with specific angle relationships and attractions placed at intersections. 2. **Key Geometry Concepts:** - **Parallel lines:** Lines that never intersect and have the same slope. - **Transversal:** A line that crosses two or more lines. - **Perpendicular lines:** Lines that intersect at a 90° angle. - **Corresponding angles:** Angles in the same relative position at each intersection of a transversal with parallel lines; these are congruent. - **Vertical angles:** Opposite angles formed by two intersecting lines; these are congruent. - **Alternate interior angles:** Angles on opposite sides of the transversal but inside the parallel lines; these are congruent. - **Alternate exterior angles:** Angles on opposite sides of the transversal but outside the parallel lines; these may or may not be congruent. - **Linear pair:** Two adjacent angles that form a straight line; their measures add to 180°. - **Same side interior angles:** Angles on the same side of the transversal and inside the parallel lines; these are supplementary (sum to 180°). - **Adjacent angles:** Angles that share a common side and vertex. 3. **Step-by-step reasoning:** 1. Identify the two parallel streets: from the problem, two streets must be parallel. Let's say Street n and Street o are parallel. 2. One transversal street must be perpendicular to these two parallel streets. Let Street w be perpendicular to Streets n and o. 3. The other transversal street must not be perpendicular to the parallel streets. Let Street s be this transversal. 4. Both transversal streets (w and s) must not intersect each other on the paper, so they are drawn so that they do not cross. 5. Street s and Street w are not perpendicular, consistent with above. 6. The Drive Through Light Exhibit is at the corner of Street n and Street o, meaning these two streets intersect at that point. 7. Nutcracker Ballet Theatre and Fruitcake Factory are at corresponding, congruent angles formed by the transversal and parallel streets. 8. Fruitcake Factory and Indoor Water Park form vertical angles. 9. Large Hill for Sledding and Fruitcake Factory are alternate interior, congruent angles. 10. Fruitcake Factory and Gingerbread Hotel are alternate interior, but NOT congruent angles. 11. Gingerbread Hotel and Ice Skating Rink form vertical angles. 12. Drive Through Light Exhibit and Ice Skating Rink are at corresponding angles. 13. Large Hill for Sledding and Moose Sanctuary form a linear pair. 14. Moose Sanctuary and Gift Shop are alternate exterior, but NOT congruent angles. 15. Hot Chocolate Cafe and Fruitcake Factory are same side interior angles. 16. Fruitcake Factory and Ice Skating Rink are at corresponding, but NOT congruent angles. 17. Nutcracker Ballet Theatre and Hot Chocolate Cafe are at adjacent angles. 18. Igloo Cinema is alternate interior angles with the Gift Shop. 4. **Summary:** - Streets n and o are parallel. - Street w is perpendicular transversal. - Street s is non-perpendicular transversal. - Attractions are placed at intersections and angles as described. This problem is primarily about understanding and applying angle relationships formed by parallel lines and transversals. **Final answer:** The city layout must have two parallel streets (n and o), one perpendicular transversal (w), and one non-perpendicular transversal (s) arranged so that the named attractions correspond to the specified angle relationships.