Match the correct definition to the vocabulary word. Angle bisector theoremAnswer 1 Question 5Perpendicular bisector theoremAnswer 2 Question 5Converse of the angle bisector theoremAnswer 3 Question 5
Question
Match the correct definition to the vocabulary word. Angle bisector theoremAnswer 1 Question 5Perpendicular bisector theoremAnswer 2 Question 5Converse of the angle bisector theoremAnswer 3 Question 5
Solution
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Angle Bisector Theorem: This theorem states that if a ray or segment bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.
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Perpendicular Bisector Theorem: This theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
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Converse of the Angle Bisector Theorem: This theorem states that if a point inside a triangle is such that it is equidistant from the three vertices of the triangle, then the line segments connecting the point to the vertices are angle bisectors.
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 3The angle bisector, divides the sides of the a triangle proportionally.Answer 2 Question 3If 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 3If a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment.Answer 4 Question 3
Which of the following best describes a bisector of an angle?A.The set of all points in a plane that are equidistant from the vertex of a given angleB.The set of all points in a plane that are equidistant from two other pointsC.The set of all points in a plane that are equidistant from the two sides of a given angleD.The set of all points included between two sides of a given angleSUBMITarrow_backPREVIOUS
Which of the following is the Angle Bisector Theorem?A.If a point is on the bisector of an angle, then it is proportional from the two sides of the angle.B.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.C.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.D.If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.SUBMITarrow_backPREVIOUS
The angle formed between a line segments and its perpendicular bisector is:A) 0°B) 90°C) 180°D) 360°
Which of the following is the statement below describing?If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.A.Perpendicular Bisector TheoremB.Angle Bisector TheoremC.Converse of the Perpendicular Bisector TheoremD.Converse of the Angle Bisector TheoremSUBMITarrow_backPREVIOUS
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