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Exploring 3D Geometry: Distance, Midpoints, and Intercepts

This resource focuses on essential concepts in 3D geometry, including how to calculate the distance between two points in three-dimensional space, find midpoints, and determine intercepts. It includes practice problems with clear examples, such as finding distances between points like (3, -2, 5) and (-1, 4, -2), as well as how to graph the equation of a plane. An ideal study guide for students preparing for midterm examinations, it also outlines key similarities to two-dimensional calculations while emphasizing the additional complexity of three dimensions.

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Exploring 3D Geometry: Distance, Midpoints, and Intercepts

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  1. Answers to graphing WS

  2. Answers to graphing WS

  3. Answers to graphing WS

  4. 3-d Distance, Midpoint, and Intercepts 3-D TEST: Sept. 29 (Wednesday) Midterm: Oct. 6

  5. Finding the distance between 2 points 3D (x, y, z) 2D (x, y)

  6. Finding the distance between 2 points in 3-dimentional space (3, -2, 5) (-1, 4, -2)

  7. Find the distance between the 2 points 1. (10, 2, –3 ) and (6, 4, –5) 2. (–1, 3, 4) and (0, –5, 2)

  8. Finding the midpoint of the 2 points 3D (x, y, z) 2D (x, y)

  9. Find the midpoint of the 2 points 1. (10, 2, –3 ) and (6, 4, –5) 2. (–1, 3, 4) and (0, –5, 2)

  10. Z Y X Graph the equation of the plane 3x + 2y + 4z =12 Find the x, y and z intercepts by plugging in 0’s.

  11. Homework • Distance/Midpoint/Intercepts WS

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