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AreaMethod

Guides

  • Area Method Proofs

Symbols

  • Collinear
  • Concyclic
  • CongruentAngles
  • ECS1
  • ECS2
  • ECS3
  • ECS4
  • ECS5
  • EqualPoints
  • Equidistant
  • FreePoint
  • IsCentroid
  • IsCircumcenter
  • IsIntersection
  • IsMidpoint
  • IsOrthocenter
  • OnLine
  • OnParallel
  • OnPerpendicular
  • ParallelLines
  • PerpendicularFoot
  • PerpendicularLines
  • PythagoreanDifference
  • SignedArea
  • SignedDistance
  • VerifyConjecture
WolframAlphaMath`AreaMethod`
PerpendicularLines
​
PerpendicularLines
[a,b,c,d]
means that the line through points
a
and
b
is perpendicular to the line through points
c
and
d
.
​
Details and Options

Examples  
(2)
Basic Examples  
(1)
Prove that the diagonals of a square are perpendicular if and only if the rectangle is a square:
In[1]:=
VerifyConjecture

PerpendicularLines
[a,d,b,c],
OnParallel
d,c,a,b,1,
OnPerpendicular
c,a,b,r,
FreePoint
[a,b]
Out[1]=
2
r
1
Properties & Relations  
(1)

SeeAlso
PythagoreanDifference
 
▪
VerifyConjecture
RelatedGuides
▪
Area Method Proofs
RelatedLinks
▪
The Area Method in the Wolfram Language
- ArXiv article
""

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