Detailed method for verifying the vertical diameter theorem using geometric sketchpad

Detailed method of verifying the vertical diameter theorem with geometric sketchpad Dear readers, PHP editor Xiaoxin will provide you with detailed guidance on how to verify the vertical diameter theorem with geometric sketchpad. The perpendicular diameter theorem is an important theorem in geometry, which states that a line segment from the center of a circle to any point on a circle is a perpendicular to that point. Through this article, you will learn how to use Geometric Sketchpad to verify this theorem and gain an in-depth understanding of its geometric principles.

1. Create a new geometric sketchpad file. Select the [Circle Tool] and draw a circle A. Select [Point Tool] and pick any point C on the circle.

2. Select [Line Segment Tool] and draw line segments AB, line segment BC, and line segment AC.

3. Select the line segment BC and the point A, select the [Construction]-[Perpendicular Line] command, and draw the mid-perpendicular line of the line segment BC so that the mid-perpendicular line intersects the circle at the point D. Point E.

4. Select point B, circle A, and point D in sequence, select the [Construction]-[Arc on Circle] command to create arc BD. In the same way, draw arc DC, arc CE, and arc EB.

5. Select arc BD, arc DC, arc CE, and arc EB respectively, and select the [Measure]-[Arc Length] command to measure the length of each arc. The arc length of each arc is displayed in the upper left corner of the artboard.

The above is the detailed content of Detailed method for verifying the vertical diameter theorem using geometric sketchpad. For more information, please follow other related articles on the PHP Chinese website!