The lines through L & L' and M & M' pass through the center of origin.
To do this, we make use of the following coordinates:
L = (1,2)
M = (5,-4)
N = (7, 8)
When rotated by 180 degrees around the origin, we have
(x,y) ⇒ (-x,-y)
This gives
L' = (-1,-2)
M; = (-5,4)
N = (-7, -8)
Next, we draw the triangle, its image when rotated by 180 degrees around the origin and two lines
From the graph (see attachment), we can see that the lines through L & L' and M & M' pass through the origin.
This would be the same when the line is drawn through points N and N' because the points are equally rotated 180 degrees around the origin.
Read more about transformation at:
brainly.com/question/4289712
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