Begin by drawing a circle centered at point A. Then identify an arbitrary point B on the circumference.
2
Draw Another Circle
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Place the compass at point B and draw another circle passing through point A. Then identify one of the intersection points of the circles as point C.
3
Connect the Points
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Connect the points using a straightedge.
An equilateral triangle △ ABC has been constructed.
Why
Note that point A and point B are the centers of ⊙ A and ⊙ B, respectively. Since ⊙ A passes through point B and ⊙ B passes through point A, the radii of the circles are equal. Therefore, AB, BC, and AC are equal. Consequently, △ ABC is an equilateral triangle.
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