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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 (−3, 2), Math Middle School is graphed at (2, 2), and Hypotenuse High School is graphed at (−3, −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. (2 points)
Part B: Find the shortest distance, in miles, from Euclid Elementary School to Hypotenuse High School? Show every step of your work. (2 points)
Part C: Find the shortest distance, in miles, from Math Middle School to Hypotenuse High School? Show every step of your work. (4 points)
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. (4 points)
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