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Math Help - circle geometry help

  1. #1
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    circle geometry help

    http://www.boardofstudies.nsw.edu.au...extension1.pdf

    can someone help me with question 5c with explanations such as reasons
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  2. #2
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    Hello andy69 [IMG]file:///C:/Users/janet/AppData/Local/Temp/moz-screenshot-8.png[/IMG]
    Quote Originally Posted by andy69 View Post
    http://www.boardofstudies.nsw.edu.au...extension1.pdf

    can someone help me with question 5c with explanations such as reasons
    In the attached diagram, TK is a tangent at P to the circle C_1. We have to prove that \triangle PKL is isosceles.

    Proof


    \angle  LPK = \angle TPM (vertically opposite)
    =\angle PQM (alternate segment)

    =\angle KLP (exterior angle of a cyclic quadrilateral)

    \therefore \triangle PKL is isosceles.

    Grandad
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