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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: [http://www.wikipedia.org/wiki/16th_Centur 1559] | + | *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]] |
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| :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 [http://en.wikipedia.org/wiki/Congruence_(geometry) congruent]. | + | 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 [http://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]].[http://en.wikipedia.org/wiki/Vertical_%28angles%29] | + | 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] |
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| [[Category: Mathematics]] | | [[Category: Mathematics]] |