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A compass draws all points that are equidistant from a fixed point, thereby creating a locus of points for a circle.

Question

A compass draws all points that are equidistant from a fixed point, thereby creating a locus of points for a circle.

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Solution

Yes, that's correct. A compass is a drawing tool that can be used to draw a circle. The fixed point, also known as the center of the circle, is the point from which all points on the circle are equidistant. This equidistant property defines the locus of points that form the circle. Here are the steps to draw a circle using a compass:

  1. Place the point of the compass at the spot where you want the center of your circle to be.
  2. Decide on the radius of your circle and adjust the compass to that length.
  3. Slowly rotate the compass to draw a circle, making sure the point stays at the center.
  4. You have now drawn a circle, which is a locus of points all equidistant from a fixed point (the center).

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Similar Questions

The locus of points idea allows you to define a circle without giving a numerical value for the radius.

The locus of points idea can be used to define straight lines, circles, and even more complex shapes such as parabolas.

A compass needle is a small magnet on a pivot. The needle can swing around freely.Explain why one end of the needle points north.

The locus of all points that are the same distance from two given points is a _____.

The only geometric objects that can be defined using the locus of points idea are straight lines, circles, and angle bisectors.A.TrueB.False

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