Intersecting Secants with a Circle

This GeoGebra example demonstrates how two secant lines intersect outside a circle, focusing on the resulting geometric configuration and visualizing metric relationships. The key mathematical ideas are circle geometry, secants and their intersection points, and two-point distance measurement with on-figure labels to support reasoning about relationships that may be expressed via products or ratios. Construction uses: Circle to create the circle; Point and Line to place the external points and draw the secant lines; Intersect to compute intersection points between the lines and the circle; and Distance to measure required segments (e.g., distanceAB, distanceCD, distanceBP, distanceDP), followed by Text labels (TextAB, TextCD, TextBP, TextDP) to display those distances directly on the diagram. Suitable for middle and high school geometry lessons, classroom demonstrations, and student exploratory learning on circles and secants.