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How to Study the Power of a Point Theorem with GeoGebra
You can use GeoGebra to study the power of a point theorem.
GeoGebra Instruction 1
- 1.
- Open
Algebra ViewandGraphics Viewunder
Viewin
Menu. - 2.
- Select
Circle through 3 Points
(it is located in the same menu as Circle with Center through Point
) to construct the circle. The three points , , and you used for making the circle are going to be utilized in the next steps. - 3.
- Use
Line
to make a line through and . - 4.
- Use
Point on Object
(it is located in the same menu as Point
) to make a point on the line through and . The point is automatically called . If you want to change the name from to , right-clickon and click onRename. Type in the field and clickOK. - 5.
- Use
Line to make the line through and . - 6.
- Use
Intersect
to make by finding the point of intersection of the circle and the line you made in the previous step. - 7.
- Use
Segment
(it is located in the same menu as Line) to make the segments and . - 8.
- If you want to remove the labels on the lines, line segments, and circle,
right-clickonLines,SegmentsandCirclerespectively and click onShow Labelso that the check mark disappears.
