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Which of these tools or constructions is needed to construct an equilateral triangle?A.compassB.parallel line through a pointC.perpendicular bisectorD.angle bisector

Question

Which of these tools or constructions is needed to construct an equilateral triangle?A.compassB.parallel line through a pointC.perpendicular bisectorD.angle bisector

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Solution

To construct an equilateral triangle, you would need a compass (A) and a straightedge. Here's a step-by-step guide:

  1. Draw a straight line of any length using your straightedge. This will be the base of your triangle.

  2. Open your compass to the length of the line you just drew.

  3. Without changing the compass width, place the compass point at one end of the line and draw an arc above the line.

  4. Keeping the same compass width, place the compass point at the other end of the line and draw another arc so it intersects with the first arc.

  5. Draw straight lines from the ends of the original line to the point where the arcs intersect.

The triangle formed by these lines is an equilateral triangle. So, the correct answer is A. Compass.

This problem has been solved

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