Question

which location on the map is closest to the origin? a city hall b school c park

Explanation:

Step1: Identify coordinates

Find the coordinates (x, y) of each location:

• School: (1, 2)
• City Hall: (8, 8)
• Park: (2, 7)
• Library: (6, 3)
• Police Station: (9, 0) (but not in options)

Step2: Calculate distance from origin

Use distance formula \( d = \sqrt{x^2 + y^2} \) (or compare \( x^2 + y^2 \) for simplicity):

• School: \( 1^2 + 2^2 = 1 + 4 = 5 \)
• City Hall: \( 8^2 + 8^2 = 64 + 64 = 128 \)
• Park: \( 2^2 + 7^2 = 4 + 49 = 53 \)

Smallest value is 5 (School), so School is closest.

Answer:

B. School