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9-12 Integrated Math 1 Unit 5 Lesson 8

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Unit 5, Lesson 8

Distances and Triangles

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Integrated Math 1

Practice

Problem 1

Calculate, in units, the distance between the two points shown on the grid.

A graph of the first quadrant showing the points (2,3) and (7,7).

Problem 2

Write an equation that would allow you to determine whether a particular point \((x,y)\) is located a distance of 7 units from \((0,5)\).

Problem 3

Write an equation that would allow you to determine whether a particular point \((x,y)\) is located a distance of 5 units from \((2,4)\).
Use the equation to test whether these points are 5 units from \((2,4)\).
1. \((\text-1,0)\)
2. \((7,5)\)
3. \((\text-2,7)\)

Problem 4

Write an equation to determine if the point \((x,y)\) is located a distance of 3 units from the point \((h,k)\).