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Circle Properties Investigative Activity 9

In the diagram below, O is the centre of the circle. Points P and Q are points on the circumference. A tangent is drawn at point P and point Q respectively. Point R is the intersection point between the 2 tangents drawn at P and Q. Try moving points P and Q and observe what happens.

What do you notice about the lengths QR and PR?

What do you notice about angle PRQ and angle ORQ?