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

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- March 3rd 2008, 07:43 PMnatesterConstructing 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.

Thanks - March 4th 2008, 04:55 AMOpalg
__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.