HL Triangle Congruence Construction Activity

HL Triangle Congruence Construction Activity
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2015-11-17 03:00
This example demonstrates how to construct right triangles given the length of a leg and hypotenuse, focusing on the HL congruence criterion. It involves core math concepts like triangle congruence, geometric construction, and right triangle properties. The construction uses GeoGebra commands such as Point, Segment, Angle, Rotate, OrthogonalLine, Line, and Intersect. Suitable for middle school and above mathematics education, helping students understand and apply the HL theorem in proofs and constructions.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AB)]) → B
  2. Segment(A, B) → b_1
  3. Point(Circle[A, abs(AC)]) → C
  4. Segment(A, C) → a_1
  5. Angle(B, A, C) → β
  6. Segment(C, B) → a
  7. Rotate(A, -90°, B) → A'_1
  8. OrthogonalLine(C, b_1) → c
  9. Line(A, B) → b
  10. Intersect(b, c) → D
  11. Angle(C, D, A) → α