Theorem of three perpendiculars

A dynamic representation of the [i]Theorem of three perpendiculars[/i]: Given a plane [math]\alpha[/math] and a line [i]r [/i]perpendicular to it in a point [i]P[/i], if [i]t [/i] is a line on [math]\alpha[/math] that doesn't pass through [i]P[/i] and [i]s[/i] is the perpendicular to [i]t[/i] through [i]P[/i], then line [i]t[/i] is perpendicular to the plane generated by [i]r[/i] and [i]s[/i].

 

Simona Riva

 
Material Type
Activity
Tags
geometry  space  3d  three  perpendiculars 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
5.0
Views
4248
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