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ACCESS - Perpendicular Diameters

Author:
Accesscd
Diameter BC is perpendicular to chord XY. Move chord XY by dragging X along the circle. Note: the length of arcs CX and CY are shown, not their measures. 1. How are the lengths of arcs CX and CY related? 2. How are the lengths of XZ and YZ related? 4. When is XZ the longest? The smallest?