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Distance in the Coordinate Plane (2)

Distance in the Coordinate Plane (2)
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2018-09-04 05:34
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to use the Pythagorean Theorem to calculate the distance between two points in the coordinate plane. It involves core math concepts like the Pythagorean Theorem and coordinate geometry. Construction highlights include commands like Distance, SurdText, Segment, OrthogonalLine, Intersect, Angle, Polygon, Midpoint. Suitable for middle school and above students learning coordinate geometry distance calculation methods.

GeoGebra Commands & Parameters

  1. Distance(A, B) → a
  2. SurdText(a) → text1
  3. Segment(B, A) → b
  4. OrthogonalLine(B, c) → d
  5. Intersect(e, d) → C
  6. Segment(B, C) → f
  7. Segment(C, A) → g
  8. Angle(A, C, B) → α
  9. Polygon(B, C, A) → poly1, a_1, b_1, c_1
  10. Midpoint(b) → E
  11. Distance(B, C) → distanceBC
  12. Distance(A, C) → distanceAC

AI Drawing Prompt Reference

Draw two points on a coordinate plane and connect them with a segment. From one point, construct a line perpendicular to an axis, intersecting another line to form a right triangle. Connect the intersection point back to both original points, and mark the right angle. Calculate and display the length of the hypotenuse in radical form, and label the lengths of the two legs. Finally, find and mark the midpoint of the hypotenuse. The figure should clearly show the right triangle and its measurements.
The prompt above was compiled from the original drawing commands and is for reference only.