What is the nature of the perpendicular line and what does the perpendicular line mean

The nature of the perpendicular.

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

3. The perpendicular bisector of the three sides of the triangle 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: it must be met at the same time: the straight line passes through the midpoint of the line segment; Straight Line segments.

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

Extended information: When one of the four corners formed by the intersection of two straight lines is a right angle, it is said that the two straight lines are perpendicular to each other, and one of the perpendicular lines of a straight line is called the perpendicular line of the other line. It is noted that the definition of perpendicular lines only specifies the magnitude of the intersection of two straight lines (90°), but does not specify the position of the two straight lines.

That is, regardless of the position of a straight line, as long as the other line intersects it at an angle of 90°, any one of the lines is a perpendicular line of the other line.

A perpendicular line is a straight line that intersects and is perpendicular to the midpoint of a line segment. The perpendicular line has the following properties:1

The vertical divides the segment into two equal parts. 2.The points on the perpendicular line are equally separated from the ends of the segment, that is, the perpendicular line is the equidistant bisector of the ends of the segment.

3.The vertical line is perpendicular to the line segment. These properties can be used to solve geometric problems related to segments and triangles.

<> perpendicular line is a straight line that connects the midpoint of a line segment to the two ends of the segment. The perpendicular line has the following properties:1

The vertical line is perpendicular to the line segment. 2.The vertical divides the line segment into two equal sections.

3.If two line segments intersect at a point where their perpendicular line intersects, that point is their intersection point. 4.

For any triangle, the perpendicular line of the three sides is at the same point, which is called the vertical center of the triangle. 5.If and only if two segments are perpendicular, their perpendicular lines intersect at one point.

When one of the four corners formed by the intersection of two straight lines is a right angle, that is, the two straight lines are perpendicular to each other, one of the straight lines is called the perpendicular line of the other straight line, and the intersection point is called the perpendicular foot.

The perpendicular segment is a graph, and the distance from the point to the line is a quantity.

In the definition of perpendicular lines, only the magnitude of the intersection of two straight lines (90°) is specified, but the position of the two straight lines is not specified. That is, regardless of the position of a straight line, as long as the other line intersects it at an angle of 90°, any one of the straight lines is a perpendicular line of the other straight line.

The basic properties of perpendiculars are:

1) Passing a point on or outside a straight line, where there is one and only one straight line perpendicular to the known straight line (in the same plane).

2) From the outer point of the line to the line segment connected by each point on the straight line, the vertical line segment is the shortest.

<> "The vertical line is a line perpendicular to a straight line, and this straight line is divided into two equal parts. It can be used to solve the problems related to the center of gravity, vertical center, and outer center of the jujube triangle.

The properties of the perpendicular line are as follows:2. At any point on the perpendicular 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. The determination of the vertical bisector line talks about jujube hunger: the return must meet the midpoint of the straight line through the line segment and the vertical line segment of the straight line at the same time.

The method of determining the perpendicular line.

1. Definition of use: passing through the midpoint of a certain line segment, and the straight line perpendicular to this line segment is the perpendicular bisector of the line segment.

2. To a point with equal distances from the two endpoints of a line segment, on the perpendicular bisector of this line segment (i.e., the vertical bisector of the line segment.

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

Mid-perpendicular lineMeaning: A straight line that passes through the midpoint of a certain line segment and is perpendicular to this line segment is called this line segmentVertical bisector, also known as the "middle perpendicular line".

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

Nature:

2. Any point of wisdom on the vertical bisector is one point higher, and the distance to 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: the front chain ruler must meet the midpoint of the straight line through the line segment and the straight line segment at the same time.

Definition of the mid-perpendicular line; : A straight line perpendicular to a line segment and bisecting this line segment is called the middle perpendicular line of the line segment.

2.Any point on the perpendicular bisector is equal at the same distance from both ends of the segment. 3.

If the two graphs are symmetrical with respect to a line, then the axis of symmetry is the perpendicular bisector of the corresponding point line.

4.The points on the vertical bisector of the segment are equal to the distance between the two endpoints of the segment. 5. The perpendicular bisector of the three sides of the triangle intersects at one point, which is called the outer center, and the distance from this point to the three vertices is equal (at this time, the outer center is the center of the circle, and the length from the outer center to the vertex is the radius, and the rock ant circle made is the outer center of this triangle.

The judgment of the vertical line refers to the jujube trouble: a point with the same distance from the two endpoints of a line segment, on the vertical bisector of this line segment.

<> "Perpendicular line refers to a straight line perpendicular to the midpoint of a line segment, and its properties, definitions and judgments are as follows:1Nature:

1) The distance from any point on the perpendicular line to the two ends of the line segment is equal; (2) the perpendicular line divides the line segment into two equal parts; (3) The straight line where the center line is located is perpendicular to the line segment. 2.Definitions:

A perpendicular line of a line segment is a straight line that coincides with the midpoint of the segment and is perpendicular to the segment. 3.Judgment:

1) Midpoint method: The triangle formed by the midpoint of the line segment connecting the two ends of the line segment and the two ends of the line segment, and the straight line corresponding to the center line of the triangle is the middle perpendicular line. (2) Perpendicular method:

A straight line that is connected perpendicular to another end point from one end of a line segment is a perpendicular line. (3) Inversion method: the plane of the line segment is inverted, then the midpoint of the line segment is inverted to the infinity point, the line where the line segment is located is inverted to the circle through the infinity point, the arc corresponding to any point on the line segment is inverted to the circle with the vector opposite to the point as the radius, and the vertical line of the line segment becomes the straight line where the two points on the circle are located after the inversion.

The perpendicular line generally refers to the perpendicular bisector. A straight line that passes through the midpoint of this line segment and is perpendicular to this line segment is called the perpendicular bisector of this line segment, also known as the "middle perpendicular line". The perpendicular bisector can be seen as a set of points at equal distances to the two endpoints of a line segment, and the perpendicular bisector is an axis of symmetry of the line segment.

with the axis of symmetryIf the graph (which can be linear, polyline, or curved) 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.

The concept of a perpendicular bisector is the only one that exists when a line segment exists. 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.