A

B

C

I

J

On\ sait\ que :\ I\ est\ le\ milieu\ de\ [AB]\
J\ est\ le\ milieu\ de\ [AC]\

Comparer\ :\
-\ les\ distances\ IJ\ et\ BC,\
-\ les\ droites\ (IJ)\ et\ (BC). 

Propriété\ des\ milieux\ version\ longeur\ et\ version\ parallélisme.\
Activité\ de\ découverte.

MathsEnClair.com

Calculés\ par\ Geogebra :

IJ=\frac {1}{2}\times BC\ \ \ et\ \ \ (IJ)//(BC)

réponse

A = (-3.0044277800000048, 4.217626260000003)
B = (-5.358993400000002, -0.3658851999999949)
C = (2.345686439999997, -0.9199006399999958)
a = Segment(A, B)
b = Segment(B, C)
c = Segment(C, A)
I = Midpoint(a)
J = Midpoint(c)
d = Segment(I, J)
e = Segment(I, A)
f = Segment(I, B)
g = Segment(J, A)
h = Segment(J, C)
i = Line(I, J)
IJ = Distance(I, J)
BC = Distance(B, C)
texte9: "IJ=" + (LaTeX[IJ]) + ""
texte10: "BC=" + (LaTeX[BC]) + ""
j = false