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Power of a Point

Grade:
9-12
Standards:
Geometry
Math Content:
Geometry

Use this tool to investigate what happens when point P is moved to various points within, on, and outside the circle. What, if any, relationships can you identify among the segments and radius?

Dragging point G will change the size of the circle, dragging P will move the point of intersection, and dragging Points A, B, C, and D will change the location of the chords.
The Show Segment Length buttons will show the lengths of: AP, BP, CP, and DP (in cm). The Show Products button displays the value of two products, AP × BP and CP × DP.
What, if any, relationships can you identify among the segments and radius?