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Detailed method of drawing tangent line of circle using geometric sketchpad

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2024-04-22 10:52:17897browse

Many beginners are confused when using geometric sketchpad to draw tangent lines of a circle. PHP editor Xigua will provide a step-by-step guide on how to draw the tangent line of a circle in this summary. In this guide, you'll learn how to: Determine the point to which a tangent line cuts Use the theorem of reflection to draw a tangent line Use other tools like lines and angles to draw a tangent line If you're having trouble drawing a tangent line to a circle, keep reading for more details , learn step-by-step guides and helpful tips to make mastering this geometry skill a breeze.

1. Construct circles and line segments. Use the circle tool to create a circle O. Select the [Point Tool] and draw point C at an appropriate position outside the circle. Then select the [Line Segment Tool] and draw the line segment OC.

Detailed method of drawing tangent line of circle using geometric sketchpad

2. Construct the midpoint. Select the line segment OC and select the [Construction]-[Midpoint] command to create the midpoint D of the line segment OC.

Detailed method of drawing tangent line of circle using geometric sketchpad

3. Make a circle. Select point D and point O, and select [Draw a circle with the center and points on the circumference] in the menu [Construction].

Detailed method of drawing tangent line of circle using geometric sketchpad

4. Construct a triangle. The intersection points of the two circles are E and F. Use the [Line Segment Tool] to connect the line segments CF, CE, OF, and OE.

Detailed method of drawing tangent line of circle using geometric sketchpad

5. Hide the circle and excess points. Select circle D, point D, and point B, and select the [Show]-[Hide Object] command.

Detailed method of drawing tangent line of circle using geometric sketchpad

6. Change the line style. Select the line segments CO, EO, and FO, and select [Line Style] - [Thin] - [Dotted Line] in the [Display] menu. The tangent line of the circle is drawn.

Detailed method of drawing tangent line of circle using geometric sketchpad

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