Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the triangle ABC in this diagram

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An equilateral triangle can be constructed from two equal sized circles with the circumference of one circle passing through the center of the other

Please find attached an outline of the construction of an equilateral triangle

The construction is correct based on the properties of an equilateral triangle

Question: The diagram in the question is not displayed;  Please find the steps to construct the attached equilateral triangle as follows;

The moves to construct an equilateral triangle, starting from two marked points, A and B are as follows;

  • Place the compass at point A and draw a circle with radius AB
  • Place the compass at point B, and with the same radius AB, draw another circle to intersect the first circle with center at A.
  • Label the point of intersection of the two circles, above the line AB as C
  • Draw a line each from C to A and from C to B using a straightedge
  • The triangle ABC formed is an equilateral triangle

Learn more about the construction drawing using compass, protractor and straight edge here:

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