What is the perpendicular bisector of a line segment

Updated on science 2024-03-12
7 answers
  1. Anonymous users2024-02-06

    A straight line that passes through the midpoint of a line segment and is perpendicular to that line segment is called the perpendicular bisector (perpendicular line) of the line segment.

    Perpendicular bisector, abbreviated"Mid-perpendicular line", which is a very important part of the subject of geometry in junior high school.

    A straight line is used to divide a line segment into two equal line segments from the middle, and it is perpendicular to the line segment that is divided, and this line line is called the perpendicular bisector of the line segment. It is usually made with a compass and a ruler.

    A perpendicular line can be seen as a set of points at equal distances to the two endpoints of a line segment, and the perpendicular line is an axis of symmetry of the line segment.

    Property theorem: The distance from a point on a perpendicular bisector of a line segment to the two endpoints of this line segment is equal. A point at an equal distance from the two endpoints of a line segment, on the vertical bisector of the line segment.

  2. Anonymous users2024-02-05

    A straight line that passes through the midpoint of a segment and is perpendicular to the segment.

    As shown in the figure below, the wooden strip L is nailed together with AB, and L is vertically bisected with AB, P1, P2, P3 ,...is a point on l, measuring a point p1, p2, p3 ,...What did you find at the distance between A and B?

    Please click Enter a description.

    The points on the perpendicular bisector of the line segment are equal to the distance between the two endpoints of the line segment, i.e., ap1=bp1, ap2=bp2,...

  3. Anonymous users2024-02-04

    The perpendicular bisector line, or "perpendicular line" for short, is a very important part of the majority of geometry in junior high school.

    The concept of a perpendicular bisector: A straight line that passes through the midpoint of a certain line segment and is perpendicular to this line segment is called the perpendicular bisector (perpendicular line) of the line segment

    Nature of the perpendicular bisector:

    2.Any point on the perpendicular bisector is equal at the same distance from both ends of the segment.

    3.The perpendicular bisector of the three sides of the triangle intersects at a point called the outer center, and the distance from this point to the three vertices is equal.

    The inverse theorem of the perpendicular bisector: to a point where the two endpoints of a line segment are at equal distances, on the perpendicular bisector of that line segment.

  4. Anonymous users2024-02-03

    The perpendicular bisector of a segment can be thought of as a set of points at equal distances to two vertices of a segment.

  5. Anonymous users2024-02-02

    A perpendicular bisector, also known as a "perpendicular line", is a straight line that passes through the midpoint of a line segment and is perpendicular to that line segment.

    A perpendicular bisector can be seen as a collection of points at equal distances to the two endpoints of a line segment, and a perpendicular bisector is an axis of symmetry for a line segment.

    It is a very important part of the subject of geometry in junior high school. A bisector divides a line segment into two equal segments from the middle and perpendicular (at a 90° angle) to the segment into which it is divided

    1) The ruler and gauge are chaotic.

    Vertical bisector.

    a.Draw an arc with two endpoints of the line segment as the center of the circle, and a radius greater than one-half of the length of the line segment to obtain two intersection points (the two intersection points intersect on both sides of the line segment).

    b.Connect these two intersections.

    2) Metrics.

    3) Origami (folding).

    6 with axis of symmetry.

    If the graph (which can be a straight line, a polyline, or a curved line) is symmetrical with respect to a line, the axis is called the axis of symmetry. In the case of a pentagram, it has five axes of symmetry.

    Vertical bisector.

    The perpendicular bisector is the concept of a dust beam when there is a certain line segment. It is defined as a straight line that passes through the midpoint of a line segment and is perpendicular to that line segment, called the perpendicular bisector (perpendicular line) of the line segment. It has certain limitations.

    The axis of symmetry of an axisymmetric graph is the perpendicular bisector of any two corresponding point segments in a symmetric graph.

  6. Anonymous users2024-02-01

    The vertical bisector means that the straight line that passes through the midpoint of a certain line segment and is perpendicular to this line segment is called the vertical bisector of this line segment, also known as "lead search".Mid-perpendicular line”。A perpendicular bisector can be thought of as a set of points that are equally distant from two endpoints of a line segment, and a perpendicular bisector is one of the line segmentsAxis of symmetry

    Properties: 2. At any point on the vertical bisector line, the distance from the two ends of the line segment is equal.

    3. Triangle.

    The perpendicular bisector of the three sides intersects at a point, which is called the outer center.

    And the distance from this point to the three vertices is equal.

    4. Determination of the perpendicular bisector: (1) the midpoint of the straight line through the line segment must be met at the same time; (2) Straight line segments.

    Determination method

    Utilization definition: A line that passes through the midpoint of a line segment and is perpendicular to the segment is the perpendicular bisector of the segment.

    to a point where the two endpoints of a linear hood segment are at equal distances, on the vertical bisector of the segment (i.e., the vertical bisector of the segment.

    It can be thought of as a set of points at equal distances to the ends of a line segment).

  7. Anonymous users2024-01-31

    Proof that xx and yy are the perpendicular lines of the BC edge and the AC edge of ABC respectively, and that xx and yy must intersect at one point, set to o (otherwise, xx yy, then c must be equal to 180°, which is impossible).

    ob=oc,oc=oa,ob=oa,o point of defeat must be on the vertical line of ab zz,xx,yy,zz intersect at one point.

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