what are perpendicular lines

Dear Student!

Lines which intersect to form a right angle (90°) are known as perpendicular lines.


In the given figure, AB is perpendicular to CD. ∠AOC = ∠AOD = ∠BOD = ∠BOC = 90°.


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When two or more lines meat at a point and form a right angle they are known as Perpendicular.


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 When two or more lines meat at a point and form a right angle they are known as Perpendicular.

one more thing


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In geometry, two lines or planes (or a line and a plane) are considered perpendicular (or orthogonal) to each other if they form congruent adjacent angles (a T-shape). The term may be used as a noun or adjective. Thus, as illustrated, the line AB is the perpendicular to CD through the point A.

By definition, a line is infinitely long, and strictly speaking AB and CD in this example represent line segments of two infinitely long lines. Hence the line segment AB does not have to intersect line segment CD to be considered perpendicular lines, because if the line segments are extended out to infinity, they would still form congruent adjacent angles.

If a line is perpendicular to another as shown, all of the angles created by their intersection are called right angles (right angles measure π/2 radians, or 90°). Conversely, any lines that meet to form right angles are perpendicular.

In a coordinate plane, perpendicular lines have opposite reciprocal slopes. A horizontal line has slope equal to zero while the slope of a vertical line is described as undefined or sometimes ±infinity. Two lines that are perpendicular would be denoted as ABperpCD

i hope u undrstand........

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 un1.perpendicularperpendicular - a straight line at right angles to another line

straight line - a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line"

2.perpendicularperpendicular - a Gothic style in 14th and 15th century England; characterized by vertical lines and a four-centered (Tudor) arch and fan vaulting

Gothic architecture, Gothic - a style of architecture developed in northern France that spread throughout Europe between the 12th and 16th centuries; characterized by slender vertical piers and counterbalancing buttresses and by vaulting and pointed arches
Tudor architecture - a style of English-Gothic architecture popular during the Tudor period; characterized by half-timbered houses

3.perpendicularperpendicular - a cord from which a metal weight is suspended pointing directly to the earth's center of gravity; used to determine the vertical from a given point

cord - a line made of twisted fibers or threads; "the bundle was tied with a cord"
lead line, sounding line - (nautical) plumb line for determining depth
plumb, plumb bob, plummet - the metal bob of a plumb line
plumb rule - a plumb line attached to a narrow board

4.perpendicular - an extremely steep face

face - a vertical surface of a building or cliff

Adj.1.perpendicular - intersecting at or forming right angles; "the axes are perpendicular to each other"

oblique - slanting or inclined in direction or course or position--neither parallel nor perpendicular nor right-angled; "the oblique rays of the winter sun"; "acute and obtuse angles are oblique angles"; "the axis of an oblique cone is not perpendicular to its base"
parallel - being everywhere equidistant and not intersecting; "parallel lines never converge"; "concentric circles are parallel"; "dancers in two parallel rows"

2.perpendicularperpendicular - at right angles to the plane of the horizon or a base line; "a vertical camera angle"; "the monument consists of two vertical pillars supporting a horizontal slab"; "measure the perpendicular height"

steep - having a sharp inclination; "the steep attic stairs"; "steep cliffs"
straight - having no deviations; "straight lines"; "straight roads across the desert"; "straight teeth"; "straight shoulders"

3.perpendicular - extremely steep; "the great perpendicular face of the cliff"

steep - having a sharp inclination; "the steep attic stairs"; "steep cliffs"
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