Question 282181
triangle FGH with F(-3,2), G(2,5), H(6,3) rotated 180 degrees about the origin

<pre><font size = 4 color = "indigo"><b>

Rotating 180° about the origin changes the signs of the coordinates:

{{{drawing(400,400,-7,7,-7,7, graph(400,400,-7,7,-7,7),
locate(-3,2,"F(-3,2)"), locate(2,5.5,"G(2,5)"), locate(5,2.7,"H(6,3)"), 
triangle(-3,2,2,5,6,3), triangle(3,-2,-2,-5,-6,-3),
locate(3,-2,"F'(3,-2)"), locate(-3.5,-5,"G'(-2,-5)"), locate(-6.9,-2.2,"H'(-6,-3)"), red(arc(0,0,2sqrt(45),-2sqrt(45),26.56505118,206.5650512)),
blue(arc(0,0,2sqrt(29),-2sqrt(29),68.19859051,248.1985905)),

green(arc(0,0,2sqrt(13),-2sqrt(13),146.3099325,326.3099325))


 )}}}