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For every angle there is exactly one angle bisector?
Yes
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Divides an angle into two equal parts?
if u divide it into 2 equal parts its a half
Why does a line segment have only one perpendicular bisector?
A line segment has only one perpendicular bisector because the bisector is defined as a line that divides the segment into two equal parts at a right angle. For any given line segment, there is a unique midpoint where the segment can be divided, and the perpendicular line drawn through this point will always intersect the segment at a 90-degree angle. Since the properties of Euclidean geometry dictate that a line can only intersect another line at one point, this results in a single perpendicular bisector for the segment.
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
For every angle there is exactly one angle bisector?
Yes
Is there a exactly one angle bisector in every angle?
Yes
Why every angle have 1 bisector?
To bisect something is to cut it in two and you can only cut something in two once therefore every angle can only have one bisector. An angle inherantly can be cut in two as it's very nature means it is more than zero
Can an angle have infinite bisectors?
No. A bisector divides and angle in two and an angle can be divided into two only once. After that you are dividing other angles.
For every angle is there only one angle bisector?
hmm... i am not sure i understand your question, sounds like a yes!! The bisector of an angle is the line or line segment that divides the angle into two equal congruent parts. The angle bisectors meet at the incenter to bisect the angle.
Can an angle have more than one bisector?
Since a bisector splits an angle into two congruent angles, it goes directly down the center. Therefore there can only be one bisector for any given angle.
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Divides an angle into two equal parts?
if u divide it into 2 equal parts its a half
Why does a line segment have only one perpendicular bisector?
A line segment has only one perpendicular bisector because the bisector is defined as a line that divides the segment into two equal parts at a right angle. For any given line segment, there is a unique midpoint where the segment can be divided, and the perpendicular line drawn through this point will always intersect the segment at a 90-degree angle. Since the properties of Euclidean geometry dictate that a line can only intersect another line at one point, this results in a single perpendicular bisector for the segment.
Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?
iscoceles triangle! =)
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
