What is the distance of the horizontal leg?
What is the distance of the vertical leg?
Use the Pythagorean theorem. What is the distance between the two points?
Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane?




What is the distance between the two points?




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What is the distance between the points (–4, 2) and (3, –5)?




Analyze George’s work. Is he correct? If not, what was his mistake?
units from the origin.
13
Find the distance between the points (a, 0) and (0, b).




How is the Pythagorean theorem related to the distance formula? Explain.
Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.
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