Right angle (geometry): Difference between revisions

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In [[Euclidean geometry]] a '''right angle''' is an [[angle]] that the angle made between the arms of the angle is equal to the angle adjacent to it. This angle is ninety degrees.
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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]]


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

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.