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How to draw a circle through three points on the geometric sketchpad

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1. Use the [Point] tool, press and hold the [Shift] key, and make point A, point B, and point C that are not on a straight line. Select three points, click [Construction] - [Line Segment] menu command to make triangle ABC.

How to draw a circle through three points on the geometric sketchpad

2. Select line segment AB and line segment AC, click [Construction] - [Midpoint] menu command in order to make the midpoint of the two line segments, namely point D and point E. .

How to draw a circle through three points on the geometric sketchpad

3. Select the line segment AB and the midpoint D, click the [Construction]-[Perpendicular Line] menu commands in order to make the mid-perpendicular line of the line segment AB. In the same way, draw the mid-perpendicular of line segment AC. The intersection point of the two vertical lines is O.

How to draw a circle through three points on the geometric sketchpad

4. Select point O and point A (any point among the three vertices of the triangle), click [Construction] - [Draw a circle with the center and points on the circumference] 】menu command to create a circle passing 3 points. Hide the vertical line, midpoint and triangle.

How to draw a circle through three points on the geometric sketchpad

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