Question: translations and rotations of a triangle

How do I do a translation or a rotation of an equilateral triangle?

I have done the following so far in maple

equitriangle:=[ [0,0], [1,0], [0.5,sqrt(3)/2] ;
D0:=display ( polygon (equitriangle, linestyle=solid, thickness=5, color=COLOR(RGB,0,1,1)), scaling=CONSTRAINED,axes=NONE);
display(D0);

What do I do next to find a translation or rotation?

Thanks.

 

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