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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. When two lines are perpendicular: They intersect at a right angle, creating a perfect “L” shape at their intersection. Each line is said to be perpendicular to the other.
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Perpendicular lines are represented by the symbol, ‘⊥‘. Suppose, l1 and l2 are two lines intersecting each other at 90 degrees, then they are perpendicular to each other and are represented as l1⊥l2. The point of intersection is called the foot of the perpendicular.
Two distinct lines intersecting each other at $90^{\circ}$ or at a right angle are called perpendicular lines. Example : Here, AB is perpendicular to XY because AB and XY intersect each other at $90^{\circ}$.
We say that a line is perpendicular to another line if the two lines meet at an angle of 90 °. Let us understand the concept of perpendicular lines, the perpendicular sign, the difference between parallel and perpendicular lines, along with some perpendicular lines examples.
Sep 16, 2024 · 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.
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. Proof: When two adjacent angles form a linear pair, their non-shared sides form a straight line (m). This tells us that the measures of the two angles will add to 180º. m∠1+m∠2=180.
Perpendicular lines are seen in many common 2D shapes and are essential for constructing shapes like squares and rectangles. For example, Each side of a square is perpendicular to the adjacent sides (the sides that touch). This is why the corners of a square always form right angles.
Two lines are perpendicular when they are at right angles to each other. The red line is perpendicular to the blue line: Here also: Learn more at perpendicular lines. Perpendicular to a Plane. A line is perpendicular to a plane when it extends directly away from it, like a pencil standing up on a table. If the pencil is perpendicular to a line ...