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Math Help - circle geomtry II

  1. #1
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    circle geomtry II

    2 circles meet @ points A & B. Points X & Y of these circles are diametrically opposite to point A.

    Prove that X, Y and B are collinear.
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  2. #2
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    Quote Originally Posted by the undertaker View Post
    2 circles meet @ points A & B. Points X & Y of these circles are diametrically opposite to point A.

    Prove that X, Y and B are collinear.
    Diametrically opposite means opposite along the diameter. As usual, make a sketch.

    You will need to use the fact that the angle in a semicircle is 90 degree.

    so angle XBA=angle YBA=90 and that is the sum of angles along a straight line.

    What can you deduce from here?
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