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Unformatted text preview: Hint: Consider the three pairs of similar triangles 4 ACD 4 BCE , 4 AFC 4 AEB , and 4 BFC 4 BDA . Be sure to argue correctly why these triangles are similar. 5. Let be a circle with centre O . Let A and B be two points on such that AB does not pass through O . The segment AB is called a chord of the circle. Show that the perpendicular bisector of AB passes through O . 6. Let P T be a chord of a circle . Let O be a point outside such that the line OT is tangent to . If P is any point on on the larger arc determined by P T , show that OTP = TPP . (See the right side of Figure 1.3c in the textbook.) 1...
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 Summer '06
 Karigiannis
 Math, Geometry

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