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Property of a Tangent to a Circle

Property of a Tangent to a Circle
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2012-05-30 17:10
CircleAngleGeometric Construction
This example demonstrates the properties of a tangent to a circle. By constructing a circle and a tangent, we learn about the relationship between the tangent and a point on the circle's circumference. Key concepts include tangents, angles, and distances. GeoGebra commands used include Circle, Tangent, Segment, Angle, Ray, and Distance. Suitable for middle school and above students for geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → b_2
  2. Tangent(B, b_2) → b,
  3. Segment(A, B) → b_1
  4. Angle(b, b_1) → α
  5. Ray(A, B) → a
  6. Distance(B, A) → distanceBA

AI Drawing Prompt Reference

Draw a circle, then select a point on the circle and draw the tangent at that point. Next, draw a line segment from the circle's center to that point, and measure the angle between this segment and the tangent. Finally, draw a ray from the circle's center to the point of tangency and measure the distance between the center and the point.
The prompt above was compiled from the original drawing commands and is for reference only.