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Constructing a 135° Angle

Constructing a 135° Angle
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2017-10-24 09:38
AngleTransformationGeometric Construction
In collections Geometric Constructions Geometric Constructions
This example demonstrates how to construct a 135° angle. Key mathematical concepts include angle rotation and geometric construction. Using GeoGebra commands such as Rotate, Angle, Ray, etc., the construction process is step-by-step. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Rotate(S, mAngle°, R) → R'
  2. Angle(S, R, R') → α
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Ray(A, B') → target1
  6. Rotate(B, (-α), A) → B'_1
  7. Angle(B'_1, A, B) → γ
  8. Ray(A, B'_1) → target2
  9. Ray(A, B) → g
  10. Line(A, B) → f
  11. Point(f) → C
  12. Ray(A, C) → h
  13. Line(A, B') → target3
  14. Line(A, B'_1) → target4

AI Drawing Prompt Reference

Construct a 135-degree angle by first rotating point B 135 degrees counterclockwise around point A to get point B', then rotating point B' 135 degrees clockwise around point A to get point B'_1. Draw rays AB', AB'_1, and AC, and lines AB and AB'. Finally, take a point C on line AB and draw rays AC and line AB'.
The prompt above was compiled from the original drawing commands and is for reference only.