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The figure HIJKL translated 4 units to the right would result in a new figure with vertices H'I'J'K'L'.
To find the new coordinates of the vertices after translating 4 units to the right, we add 4 to the x-coordinate of each vertex. Therefore, the new coordinates would be:
H' = (6,0)
I' = (7,2)
J' = (9,2)
K' = (8,0)
L' = (6,-2)
Out of the given options, the vertex that would be a part of the new translated figure is:
C. (6,1)