Subjects geometry

Vicinity Map 531265

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to plot the locations of various landmarks on a Cartesian coordinate plane based on their relative positions to the Church at the origin (0,0). 2. The Church is at (0,0). 3. The Building for Local Government is 6 units East and 5 units North of the Church, so its coordinates are (6,5). 4. The Public Elementary School is 3 units East of the Church, so its coordinates are (3,0). 5. The Public Market is 3 units East and 3 units North of the Public Elementary School, so add (3,3) to (3,0) to get (6,3). 6. The Fire Department is 4 units North of the Church, so its coordinates are (0,4). 7. The Restaurant is 4 units West of the Public Market, so subtract 4 from the x-coordinate of (6,3) to get (2,3). 8. The Private High School is 5 units West and 2 units North of the Church, so its coordinates are (-5,2). 9. The Police Headquarters is 2 units West of the Fire Department, so subtract 2 from the x-coordinate of (0,4) to get (-2,4). 10. The Hospital is 4 units East and 6 units South of the Church, so its coordinates are (4,-6). 11. The Town Plaza is 3 units South of the Church, so its coordinates are (0,-3). 12. These points can be plotted on a Cartesian plane with x-axis from -8 to 8 and y-axis from -12 to 12. 13. The four small house symbols are located approximately at (-4,4), (3,3), (3.5,3), and (-1,1). This completes the mapping of the town landmarks relative to the Church at the origin.