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Geometry: Coordinate Plane and Distance Calculation Method

Learn how to calculate distances between points on the coordinate plane using a counting approach and the Pythagorean Theorem. Plot points, draw distances, and solve for missing sides in triangles. Practice finding lengths of segments and hypotenuses in geometry.

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Geometry: Coordinate Plane and Distance Calculation Method

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  1. Quadrant II (-, +) Quadrant I (+, +) T The coordinates of point T are ________. (6,3) (0,0) Origin  Quadrant III (-, -) Quadrant IV (+, -) The Coordinate Plane Geometry

  2. Unfortunately, this counting approach does NOT work for EF which is a diagonal segment. Method One Whenever the segments are horizontal or vertical, the length can be obtained by counting. When we need to find the length (distance) of a segment such as AB, we simply COUNT the distance from point A to point B.(AB= ___) We can use this same counting approach for CD .(CD= ___) 7 3 Geometry

  3. STEPS • Plot Points • Draw vertical , then horizontal distances between points, Create a triangle • Count the units on each side & label • Use Pythagorean Theorem to solve for missing side= DISTANCE BETWEEN TWO POINTS.

  4. Finding Distance What is the distance between the two points on the right? (6,8) (0,0) Geometry

  5. Geometry

  6. Geometry

  7. Geometry

  8. Ticket out the Door • What is the length of the hypotenuse for the following triangle in the coordinate plane? Geometry

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