Recall that when we make a dilation with center at the origin, the only needed operation is to multiply the coordinates of each point by the factor of dilation. In this particular case the dilation factor is 0.5 so we must do the following operations:
0.5*(2,2) = (0.5*2,0.5*2) = (1,1)
0.5*(4,3) = (0.5*4,0.5*3) = (2,1.5)
0.5*(6,1) = (0.5*6, 0.5*1) = (3,0.5)
So, the vertices of the triangle after the dilation are those who appear in D.