What Is A Perpendicular Side

Perpendicular

The term "perpendicular" means coming together or crossing at right angles. Lines, rays, line segments, and planes can be perpendicular.

Perpendicular lines, rays, and line segments are lines or parts of lines that see or cross at correct angles.

If lines l and m are perpendicular to each other, we tin write l⊥one thousand where "⊥" is the symbol for perpendicular.

Rules involving perpendicular lines

Perpendicular lines create interesting properties and relationships in geometry, the following are some of them:

• A triangle is a correct triangle if 2 sides of the triangle are perpendicular.

In the diagram above, triangle ABC is a correct triangle with right angle at vertex B considering sides AB and BC are perpendicular.

• In plane geometry, there tin can be only one line fatigued through a given point non on a given line that is perpendicular to the given line. This is known as the perpendicular postulate.

In the diagram above, merely line fifty can be drawn through indicate P that is perpendicular to line m. Any other line drawn through P, such as line due north in the diagram, will not be perpendicular to line g.

• The distance from a point not on a line to the line is the length of the perpendicular line segment from the point to the line. It is likewise the shortest altitude from the point to the line.

In the diagram in a higher place, the distance from P to m is the length of segment PQ since it is perpendicular to m. Discover that segment PR is also a measurable distance from P to m but non the shortest measurable altitude since information technology is non perpendicular to m.

• 2 planes that intersect at a right angle are perpendicular to each other.

• A line is called a perpendicular bisector of a line segment if information technology is perpendicular to the segment and cuts the segment into 2 equal parts.

In the diagram to a higher place, RS is the perpendicular bisector of PQ since RS is perpendicular to PQ and, PS≅QS.

• The altitude of a triangle is the perpendicular line segment from a vertex to the opposite side or the line containing the opposite side of a triangle.

In the diagram in a higher place, the dashed segments perpendicular from vertex Q to side PR and from vertex R to side PQ are both altitudes for triangle PQR.

• The height of a pyramid is the perpendicular line segment from the base of the pyramid to its vertex.