The slope of any line is the tan of the angle formed by the line with the positive x-axis and the slope in the case of the perpendicular lines has a particular relation between them.

Any two intersecting lines intersecting at an angle of 90 degrees are called perpendicular lines. Perpendicular lines have different properties than the intersecting lines and the general properties of the intersecting lines are,

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Perpendicular Lines refers to the lines that intersect each other at an angle equal to 90 degrees i.e. if two lines meet at a right angle they are called Perpendicular lines. Take the figure added below here, the line l and line m intersect each other at point O and the angle made by them is 90 degrees.

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Some Shapes that are called the Perpendicular Shapes are the shapes that have at least one perpendicular in them. Various examples of the perpendicular shapes are, Square, Rectangle, Right-Angled Triangle

Perpendicular lines are the lines that always meet each other at 90 degrees. We see various examples of parallel lines in real life, some of them are,

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Parallel lines in Geometry are defined as the lines that do not meet each other in the 2-D plane, i.e. they never intersect each other in the 2-D plane. The distance between the two parallel lines is always constant. The image added below shows two pairs of parallel lines.

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Perpendicular refers to a relationship between two lines or line segments that intersect to form a right angle, which is 90 degrees.

The slope of the perpendicular lines can be easily calculated using the slope formula. Suppose we are given a line then we first convert it in the standard form and then use the slope formula to find the slope. The slope formula is, m = -b/a, where a is the coefficient of x and b is the coefficient of y.

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The symbol or sign that represents perpendicular is, ⟂. We use this symbol to show if two lines are perpendicular. Such as, if it is written A⟂B, where A and B are two lines, then line A is perpendicular to line B and vice-versa.

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Q2. If a line passes through the points (11, –4) and (–1, 8) and another line passes through the points (8, 3) and (–1, -3). Check whether these lines parallel or perpendicular.

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Thus, we can say that l is a line perpendicular to m line or line m is Perpendicular to line l. We represent this condition as, l ⊥ m. Now any line parallel to line l is perpendicular to the line m. The shortest distance between the point and the line is always the perpendicular distance between them.

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No, not all intersecting lines are always perpendicular, they may or may not be perpendicular. The intersecting lines can meet at different angles.

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We started with a flat black room 10'wide x16' long. The height is non critical; the demo was 10', but it could have been lower to make it easier to decorate with materials to brush people in the face. The width of the room is more important and the laser light tends to taper in strength when refracted through the haze. This varies with the amount of haze in the room but after about 7 ft the effect become faint. We mounted 4 lasers in the corners and two in the middle of the 16' walls. These were mounted belly button high as a personal preference. You want enough height to allow the actor in the black skin suit room to work below the lasers, but you don't want to expose shorter patrons to laser light in their eyes. There were two 36" wide doors  in the middle of the 10' wall sections with 8" black PVC vinyl strip material("fear flaps") to block light and minimize the haze loss. We had a small fan just off of the entrance pulling some fresh air into the room the accentuate the swirl of the haze in the lasers to make the effect appear more fluid like. We decorated the room to visually distract people and focus their attention to allow the actor to work undetectedwith use of an animatronic witch prop to draw peoples attention.

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If the angle between two lines is 90°. Then we can say that these two lines are perpendicular. If the slope of the two lines are given as, m1, m2 then we use the perpendicular line formula to find whether they are perpendicular or not. The perpendicular line formula is, m1.m2 = -1

Step 6: There is a difference of 60° between the first and second cut. Bisect this gap using the compass without changing its radius.

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Suppose we have two lines PQ and RS that are perpendicular to each other. Now, the slope of line PQ is say m1 and the slope of line RS is say m2, then the product of the slopes is equal to the -1. The statement for the same is,

Perpendicular lines are represented using the symbol, ‘⊥‘. If lines l and m are perpendicular to each other, i.e. they intersect each other at 90 degrees then they are called perpendicular lines and they are represented as:

In this article, we will explore the definition, properties, and applications of perpendicular lines, along with their importance and uses in both academics and real life.

The angles that are equal to 90° are called perpendicular angles. The other name of the perpendicular angles is Right Angles.

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Perpendicular Lines in Mathematics are pairs of lines that always intersect each other at right angles, i.e. perpendicular lines are always intersect at 90°. The perpendicular lines are readily seen by us, the corners of the walls, the corners of the desk, and others represent the perpendicular line. Understanding the properties and relationships of perpendicular lines helps in solving complex geometric problems.

If two intersecting lines intersect each other at right angles, i.e. at 90 degrees then these two lines are called perpendicular lines.