Given a scale factor 1/2, find the coordinates for the dilation of the triangle with vertical at (0,0), (0,2), and (4,0).
To find the coordinates of the dilated triangle with a scale factor of 1/2, we simply multiply the coordinates of each vertex by the scale factor.
Original triangle:
A = (0,0)
B = (0,2)
C = (4,0)
Dilated triangle:
A' = (0*(1/2), 0*(1/2)) = (0,0)
B' = (0*(1/2), 2*(1/2)) = (0,1)
C' = (4*(1/2), 0*(1/2)) = (2,0)
Therefore, the coordinates of the dilated triangle with a scale factor of 1/2 are:
A' = (0,0)
B' = (0,1)
C' = (2,0)