1. Your futuristic city needs a central plaza. Which shape would provide the most equal access from all directions?

2. You're designing a residential tower that needs maximum stability. Which 3D shape would be best for the base?

3. Your city needs efficient transportation. Which types of angles should intersecting streets have for smooth traffic flow? (Check all that apply)

4. A futuristic bridge connects two buildings 500 feet apart. If the bridge forms a perfect arc (semicircle), what is the radius?

5. Draw your futuristic city layout in the space below. Include at least 5 different geometric shapes and label each one.

6. Explain why you chose each geometric shape for your city design. Use mathematical vocabulary in your explanation.

7. Your city has a triangular park with sides measuring 200 feet, 300 feet, and 400 feet. What type of triangle is this, and why is this shape good for a park?

8. Calculate the perimeter of your triangular park from question 7. Show your work.

9. Your city needs a solar panel array. If each panel is a rectangle measuring 6 feet by 4 feet, and you need to cover a square rooftop that is 24 feet on each side, how many panels will fit? Draw a diagram to support your answer.

10. Design a futuristic monument for your city center. Describe the 3D shapes you would combine and explain how they would fit together using geometric terms (parallel, perpendicular, congruent, etc.).