Difference between revisions of "Vertical"
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==Etymology== | ==Etymology== | ||
Middle French or Late Latin; Middle French, from Late Latin verticalis, from [[Latin]] vertic-, vertex | Middle French or Late Latin; Middle French, from Late Latin verticalis, from [[Latin]] vertic-, vertex | ||
| − | *Date: [ | + | *Date: [https://www.wikipedia.org/wiki/16th_Centur 1559] |
==Definitions== | ==Definitions== | ||
*1 a : situated at the highest point : directly overhead or in the [[zenith]] | *1 a : situated at the highest point : directly overhead or in the [[zenith]] | ||
| Line 12: | Line 12: | ||
:b : of, relating to, or comprising [[persons]] of [[different]] [[status]] <the vertical arrangement of [[society]]> | :b : of, relating to, or comprising [[persons]] of [[different]] [[status]] <the vertical arrangement of [[society]]> | ||
==Description== | ==Description== | ||
| − | In [[geometry]], a pair of [[angles]] is said to be '''vertical''' (also [[opposite]] and vertically opposite, which is abbreviated as vert. opp. ∠s) if the [[angles]] are formed from two intersecting lines and the angles are not [[adjacent]]. They all share a [[vertex]]. Such angles are [[equal]] in [[measure]] and can be described as [ | + | In [[geometry]], a pair of [[angles]] is said to be '''vertical''' (also [[opposite]] and vertically opposite, which is abbreviated as vert. opp. ∠s) if the [[angles]] are formed from two intersecting lines and the angles are not [[adjacent]]. They all share a [[vertex]]. Such angles are [[equal]] in [[measure]] and can be described as [https://en.wikipedia.org/wiki/Congruence_(geometry) congruent]. |
==Vertical angle theorem== | ==Vertical angle theorem== | ||
| − | When two straight [ | + | When two straight [https://en.wikipedia.org/wiki/Line_(mathematics) lines] intersect at a point, four [[angles]] are [[formed]] . The nonadjacent angles are called vertical or [[opposite]] or vertically opposite angles. Also, each pair of adjacent angles form a straight line and are [[supplementary]]. Since any pair of vertical angles are supplementary to either of the adjacent angles, the vertical angles are [[equal]] in [[measure]].[https://en.wikipedia.org/wiki/Vertical_%28angles%29] |
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
Latest revision as of 02:42, 13 December 2020
Etymology
Middle French or Late Latin; Middle French, from Late Latin verticalis, from Latin vertic-, vertex
- Date: 1559
Definitions
- 1 a : situated at the highest point : directly overhead or in the zenith
- b of an aerial photograph : taken with the camera pointing straight down or nearly so
- 2 a : perpendicular to the plane of the horizon or to a primary axis : upright
- b (1) : located at right angles to the plane of a supporting surface (2) : lying in the direction of an axis : lengthwise
- 3 a : relating to, involving, or integrating economic activity from basic production to point of sale <a vertical monopoly>
- b : of, relating to, or comprising persons of different status <the vertical arrangement of society>
Description
In geometry, a pair of angles is said to be vertical (also opposite and vertically opposite, which is abbreviated as vert. opp. ∠s) if the angles are formed from two intersecting lines and the angles are not adjacent. They all share a vertex. Such angles are equal in measure and can be described as congruent.
Vertical angle theorem
When two straight lines intersect at a point, four angles are formed . The nonadjacent angles are called vertical or opposite or vertically opposite angles. Also, each pair of adjacent angles form a straight line and are supplementary. Since any pair of vertical angles are supplementary to either of the adjacent angles, the vertical angles are equal in measure.[1]
