Drag points A, B, C, and D to change the segment lengths.
Do you see any relationship between the lengths of the segments formed by the two intersecting chords?
Click the first check box to show the similar triangles.
What is the scale factor between the two triangles?
Click the second check box to show the scale factor proportion.
What happens if you cross-multiply the proportion?
Click the third check box to show the products of the segments formed by the intersecting chords.
Do the products always seem to be the same?
How could you prove your conclusion?