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Distance in the Coordinate Plane

Before clicking the "Show Hint" checkbox in the applet below, take a moment to see if you can figure out a way to calculate the distance between points A & B. Points A & B are moveable, by the way. If you are stuck, click the "Show Hint" checkbox. What appears should trigger your memory.

Questions

1. How do you calculate the horizontal (across) distance between two points? 2. How do you calculate the vertical (up or down) distance between two points? 3. How do you calculate the diagonal distance between two points? 4. Which distance (horizontal, vertical or diagonal) describes the shortest distance between two points?