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Points and Distance

Points and Distance
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2016-02-19 10:05
Coordinate GeometryGeometric Construction
In collections Honors PreCalc Ch. 10
This example demonstrates the calculation of distance between two points. Key mathematical concepts include points, segments, and distance. Using GeoGebra commands such as Point, Segment, and Midpoint, points A, B, C, D, E, F and line segment a are constructed. Suitable for students in middle school and above to learn about points and distance in coordinate geometry.

GeoGebra Commands & Parameters

  1. Point({1, 2, 3}) → A
  2. Point({-2, 3, -3}) → B
  3. Point({-3, 0, -3}) → C
  4. Point({7, 4, 8}) → D
  5. Point({-10, 2, 0}) → E
  6. Point({6, 0, -9}) → F
  7. Segment(A, D) → a
  8. Midpoint((1, 2, 3), (7, 4, 8)) → M1
  9. Midpoint(F, E) → M2
  10. Segment(E, F) → b

AI Drawing Prompt Reference

Draw six points A(1,2,3), B(-2,3,-3), C(-3,0,-3), D(7,4,8), E(-10,2,0), and F(6,0,-9) on a coordinate plane, and connect point A and point D to form line segment a. Then find the midpoints M1 of points A and D, and M2 of points F and E, and connect point E and point F to form line segment b.
The prompt above was compiled from the original drawing commands and is for reference only.