Practice: Equation of Tangent to a Circle
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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
Sequence(Random[-10, 10] / 2, n, 1, 4) → varsCircle(C, Distance[C, P]) → cTangent(P, c) → g,Segment(C, P) → fTextfield(ans) → InputBox1