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Question 3 of 10Which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle?

Question

Question 3 of 10Which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle?

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Solution

The geometric object defined as the set of all points in a plane that are equidistant from the two sides of a given angle is called an "Angle Bisector".

Here are the steps to understand this:

  1. Start with a given angle. This angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex of the angle).

  2. The set of all points that are equidistant from the two sides of the angle forms a line. This line splits the given angle into two equal smaller angles.

  3. This line is called an "Angle Bisector" because it bisects (divides into two equal parts) the given angle.

  4. Therefore, an Angle Bisector is the geometric object that is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.

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