Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.

list of new coordinates: (0, 6) , (0, 4/3) , (1, 0) , (1, 4/3) , (6, 0) , (4/3, 0) , (9/2, 0) , (9/2, 6)

scale factor 1/3:

(list all coordinates under scale factor 1/3)

scale factor 3/2:

(list all coordinates under scale factor 3/2)

point not used:

(list all coordinates under point not used if they couldn't be used)

answer correctly! ]

A dilation of a figure with the center in the origin of the axis gives you the original figure enlarged or reduced. Therefore, in order to find the new coordinates, you have to multiply the original coordinates by the scale factor.

The original coordinates are: (0, 0) (3, 0) (0, 4) (3, 4)

A) If the scale factor is 1/3 the new coordinates are:
(0, 0) (1, 0) (0, 4/3) (1, 4/3)

List of coordinates under a scale factor of 1/3: (0, 4/3) , (1, 0) , (1, 4/3)

B) If the scale factor is 3/2 the new coordinates are:
(0, 0) (9/2 , 0) (0, 6) (9/2 , 6)

List of coordinates under a scale factor of 3/2: (0, 6) , (9/2, 0) , (9/2, 6) 

C) The points not used in neither point A or B are: (6, 0) , (4/3, 0)