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Angles on a Straight Line

Angles on a Straight Line
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2018-02-18 05:38
AngleCoordinate GeometryGeometric Construction
This example demonstrates angles on a straight line. Key mathematical concepts include the properties and classification of angles. Using GeoGebra commands such as Circle, Line, Intersect, Point, Segment, Angle, etc., you can construct angles on a straight line. Suitable for students at junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(B, A) → f
  3. Intersect(c, f, 2) → C
  4. Point(c) → D
  5. Segment(A, D) → g
  6. Segment(C, B) → h
  7. Angle(h, g) → α
  8. Segment(C, A) → i
  9. Angle(D, A, C) → β
  10. Angle(g, h) → γ

AI Drawing Prompt Reference

Draw a straight line, then draw a circle on this line. Find the intersection of the circle and the line, and mark it as point D. Next, draw line segments AD and CB, and measure the angle between line segments CB and AD, which is angle α. Finally, draw line segment CA and measure the angles between line segments CA and AD (angle β) and between line segments CA and CB (angle γ).
The prompt above was compiled from the original drawing commands and is for reference only.