A map of three public schools was created using a coordinate plane where the origin represents the center of the town. Euclid Elementary School is graphed at (−2, 6), Math Middle School is graphed at (6, 6), and Hypotenuse High School is graphed at (−2, −4). Each unit on the graph represents 1 mile.

Part A: Find the shortest distance, in miles, from Euclid Elementary School to Math Middle School. Show every step of your work.

Part B: Find the shortest distance, in miles, from Euclid Elementary School to Hypotenuse High School. Show every step of your work.

Part C: Find the shortest distance, in miles, from Math Middle School to Hypotenuse High School. Show every step of your work.

Part D: Shay traveled from Hypotenuse High to Euclid Elementary and then to Math Middle. Zion traveled from Hypotenuse High to Math Middle along a straight path. Who went the shortest distance? Explain.