Translations

Three translations are shown.

Green is a translation of Yellow. Blue is a translation of Green. Red is a translation of Blue.

Change the translations so that the red rectangle lands exactly on the yellow one. What property do the three lines have when this happens?

 Please enable Java for an interactive construction (with Cinderella).
a0 a1 a2 a3 a4
b0 b1 b2 b3 b4
c0 c1 c2 c3 du er her
d0 d1 d2 d3 d4
e0 e1 e2 e3 e4
f0 f1 f2 f3 f4
g0 g1 g2 g3 g4

What property do the three lines have when this happens?

Result:

 
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