Right angle (geometry): Difference between revisions

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imported>Hayford Peirce
(rewrote the definition to reflect the various definitions that I have listed on the discussion page.)
imported>Bruce M. Tindall
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[[Image:Right angle (geometry) definition.png|frame|Diagram showing the definition of a right angle. The green parts are not part of the construction but show that the angles are both 90 degrees and equal to one another]]
[[Image:Right angle (geometry) definition.png|frame|Diagram showing the definition of a right angle. The green parts are not part of the construction but show that the angles are both 90 degrees and equal to one another]]


In [[Euclidean geometry]], a '''right angle''', symbolised by the L-shaped figure '''∟''', is created when two straight lines meet perpendicularly at 90 degrees to each other.
In [[Euclidean geometry]], a '''right angle''', symbolized by the L-shaped figure '''∟''', bisects the angle of the line into two equal parts. The right angle is created when two straight lines meet perpendicularly at 90 degrees to each other.


The right angle bisects the angle of the line into two equal parts.
The right angle is demonstrated:
Given a line DC with point B lying on it
Project a line from B through point A
Take B as the vertex of angle ABC
If the angle ABC equals the angle ABD
then angle ABC is a right angle,
and so is angle ABD


The right angle is demonstrated:
The plus sign, +, consists of two such lines, and so the four angles at its heart are all right angles.
:Given a line DC with point B lying on it
:Take B as the vertex of angle ABC
:If the angle ABC equals the angle ABD
:then angle ABC is a right angle,  
:and so is angle ABD

Latest revision as of 17:48, 6 February 2009

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Diagram showing the definition of a right angle. The green parts are not part of the construction but show that the angles are both 90 degrees and equal to one another

In Euclidean geometry, a right angle, symbolized by the L-shaped figure , bisects the angle of the line into two equal parts. The right angle is created when two straight lines meet perpendicularly at 90 degrees to each other.

The right angle is demonstrated:

Given a line DC with point B lying on it
Project a line from B through point A
Take B as the vertex of angle ABC
If the angle ABC equals the angle ABD 
then angle ABC is a right angle, 
and so is angle ABD

The plus sign, +, consists of two such lines, and so the four angles at its heart are all right angles.