True
True
A line that is the angle bisector.
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
That's a circle around the center, in the plane.
That set of points forms what is known as a "circle".
True
True. The perpendicular bisector of the segment connecting points ( a ) and ( b ) is defined as the set of all points that are equidistant from both ( a ) and ( b ). This line is perpendicular to the segment at its midpoint and ensures that any point on this line maintains equal distance to both endpoints.
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
True
A line that is the angle bisector.
The perpendicular bisector of the segment RS is the line that divides the segment into two equal parts at a right angle. It consists of all points in the plane that are equidistant from points R and S. Therefore, any point on this line is the same distance from R as it is from S. This geometric property is fundamental in various applications, including triangle construction and the locus of points.
The geometric object defined as the set of all points in a plane that are equidistant from two points is called the perpendicular bisector. This line is perpendicular to the segment joining the two points and bisects it, meaning it divides the segment into two equal parts. Any point on this line has the same distance to both of the original points.
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
The set of all points in a plane that are equidistant from the two sides of a given angle
angle bisector
the middle point * * * * * In 2 dimensions: also any point on line forming the perpendicular bisector of the line segment. In 3 dimensions: the plane formed by the perpendicular bisector being rotated along the axis of the line segment. In higher dimensions: Hyperplanes being rotated along the same axis.
A line equidistant from two points is a line that maintains the same distance from both points at all locations along its length. This line is typically the perpendicular bisector of the segment connecting the two points, meaning it divides the segment into two equal parts and forms right angles with it. In a two-dimensional plane, any point on this line is the same distance to both points.