Right angle (geometry): Difference between revisions

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imported>Miguel Adérito Trigueira
(added missing part of demonstration, sp)
imported>Miguel Adérito Trigueira
(Re arranged existing contend, restored formatting)
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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''', symbolized by the L-shaped figure '''∟''', is created when two straight lines meet perpendicularly at 90 degrees to each other. The plus sign, +, consists of two such lines, and so the four angles at its heart are all right angles.
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
: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

Revision as of 03:47, 21 August 2008

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.