circle passing through points C, D and G was automatically constructed for you. How could you construct a circle passing through the three points?
Question
How could you construct a circle passing through the three points?
Circle passing through points C, D, and G was automatically constructed for you.
Solution
To construct a circle passing through three points C, D, and G, follow these steps:
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Draw a straight line connecting points C and D. Do the same for points C and G. You should now have two lines intersecting at point C.
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Find the midpoint of each line. This is done by measuring the total length of each line and dividing by two. Mark these midpoints.
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Draw a line perpendicular to each of the original lines, passing through their respective midpoints. These are called the perpendicular bisectors. They should intersect at a point, which will be the center of the circle.
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Use a compass to draw a circle from the intersection point (center of the circle) to any of the three points C, D, or G. The circle should now pass through all three points.
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