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Pascal Application 2

Instructions

1. Click Step 1, showing a triangle ABC, its circumcircle, and a random point P in the interior. 2. Click Step 2, showing an arbitrary line PD, intersecting the sides of the triangle at X, Y, and Z. 3. Click Step 3, showing segments AR, BS, and CT, all passing through P. 4. Construct rays RX, TY, and SZ. 5. Drag objects that are "drag-able."
What conjecture(s) can you make?