Which of the following best describes a bisector of an angle?A.The set of all points included between two sides of a given angleB.The set of all points in a plane that are equidistant from the vertex of a given angleC.The set of all points in a plane that are equidistant from the two sides of a given angleD.The set of all points in a plane that are equidistant from two other points
Question
Which of the following best describes a bisector of an angle?A.The set of all points included between two sides of a given angleB.The set of all points in a plane that are equidistant from the vertex of a given angleC.The set of all points in a plane that are equidistant from the two sides of a given angleD.The set of all points in a plane that are equidistant from two other points
Solution
The best description for a bisector of an angle is C. The set of all points in a plane that are equidistant from the two sides of a given angle.
Here's why:
A bisector of an angle divides the angle into two equal parts. This means that any point on the bisector is equidistant from the two sides of the angle. Therefore, the set of all points that are equidistant from the two sides of the angle forms the bisector.
Option A is incorrect because it describes the interior of the angle, not the bisector.
Option B is incorrect because being equidistant from the vertex does not necessarily mean that the point is on the bisector.
Option D is incorrect because it describes the perpendicular bisector of a line segment, not the bisector of an angle.
Similar Questions
Using the definitions below, match the definitions to the correct vocabulary word. A line, ray or line segment that bisects an angle or line segment at a right angle.Answer 1 Question 10If a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment.Answer 2 Question 10If a point is equidistant from the endpoints of a line segment, then it is on the perpendicular bisector of a line segment. Answer 3 Question 10The angle bisector, divides the sides of the a triangle proportionally.Answer 4 Question 10
Which of the following is the Angle Bisector Theorem?A.If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.B.If a point is on the bisector of an angle, then it is proportional from the two sides of the angle.C.If a point is in the interior of an angle and equidistant from the two sides of the angle, then it lies on the bisector of the angle.D.If a point is in the interior of an angle and proportional from the two sides of the angle, then it lies on the bisector of the angle.
Which of the following is described as a line, segment, or ray that bisects a segment at a right angle?A.Perpendicular bisectorB.Angle bisectorC.SlopeD.Midpoint
The angle formed between a line segments and its perpendicular bisector is:A) 0°B) 90°C) 180°D) 360°
Which 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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