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Triangle Congruence Investigation #2

Triangle Congruence Investigation #2
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2016-10-14 02:12
TriangleAngleGeometric Construction
This example demonstrates the exploration of triangle congruence conditions through rotation and angle measurement. It involves core mathematical concepts such as congruence criteria, angles, linear equations, expected value, and geometric distribution. The construction uses GeoGebra commands: Point, Segment, Rotate, Angle; objects include A_1, B, f, A, D_1, g, E, D, E', α, h, i, text1. Suitable for high school mathematics teaching to understand and apply triangle congruence theorems.

GeoGebra Commands & Parameters

  1. Point(Circle[A_1, 5]) → B
  2. Segment(A_1, B) → f
  3. Point(Circle[A, 6]) → D_1
  4. Segment(A, D_1) → g
  5. Rotate(E, 30°, D) → E'
  6. Angle(E, D, E') → α
  7. Segment(E, D) → h
  8. Segment(E', D) → i

AI Drawing Prompt Reference

Draw a triangle ABC with point A at the origin, point B 5 units to the right of A, and point D 6 units to the right of A. Rotate point E 30 degrees counterclockwise around point D to get point E', then draw segments DE and DE', and measure the angle ∠DEE'.
The prompt above was compiled from the original drawing commands and is for reference only.