Practice: Equation of Tangent to a Circle

Practice: Equation of Tangent to a Circle
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2020-04-27 20:37
①This interactive GeoGebra example provides practice in finding the equation of a tangent line to a circle at a given point, with immediate feedback on user input.②Core mathematical concepts include the tangent-radius perpendicularity, point-slope form of a line, and coordinate geometry of circles.③Construction uses commands such as Sequence, Circle, Tangent, Segment, and Textfield, along with objects like variables (vars), points (C, P), circle (c), buttons (button1, button2), text elements (text1-4), and an input box (InputBox1) to create a self-checking exercise.④Suitable for high school geometry or analytic geometry courses, this example helps students practice deriving tangent equations and reinforces the connection between geometric properties and algebraic representation.

GeoGebra Commands & Parameters

  1. Sequence(Random[-10, 10] / 2, n, 1, 4) → vars
  2. Circle(C, Distance[C, P]) → c
  3. Tangent(P, c) → g,
  4. Segment(C, P) → f
  5. Textfield(ans) → InputBox1