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Parallel and Perpendicular Lines

Parallel and Perpendicular Lines
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2019-10-08 21:31
FunctionCoordinate GeometryTransformation
This example investigates the relationship between the slopes of parallel and perpendicular lines. By adjusting the slopes of two lines, observe the angle between them. Commands used include Intersect and Angle. Suitable for middle school and above students learning linear equations and geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → A
  2. Angle(C, A, B) → α

AI Drawing Prompt Reference

Draw two lines with adjustable slopes to observe how the angle between them changes. When the lines are parallel, the angle is 0 degrees; when they are perpendicular, the angle is 90 degrees. Mark the intersection point of the two lines and measure the angle between this point and the lines to verify the relationship between the slopes of parallel and perpendicular lines.
The prompt above was compiled from the original drawing commands and is for reference only.