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Math Help - Constructing a circle

  1. #1
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    Constructing a circle

    Suppose A & B are points, and C is a circle whose center is A. Using only a straight edge and a compass whose setting does not survive lifting off of the page, construct a circle congruent to C centered at B.

    Anything would help.
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  2. #2
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    Quote Originally Posted by natester View Post
    Suppose A & B are points, and C is a circle whose center is A. Using only a straight edge and a compass whose setting does not survive lifting off of the page, construct a circle congruent to C centered at B.

    Anything would help.
    Thanks
    Step 1: You can construct the midpoint M of the line AB. (Draw a circle centred at A, passing through B. Draw a circle centred at B, passing through A. Draw the line connecting the two points where these circles intersect. This line meets AB at M.)

    Step 2: Let D be one of the points where the circle C meets the line AB. Draw a circle centred at M, passing through the point D. Let E be the other point where this circle meets the line AB. Then BE=CD. So the circle centred at B, passing through E, is congruent to C.
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