If rectangle ABCD, defined by the coordinates A(0, 0), B(0, -4), C(-2, -4), D(-2, 0), is dilated by a scale factor of 2, with resulting vertex A' at (2, 4), what is the center of the dilation?
A) (0, 0)
B) (2, 4)
C) (0, -4)
D) (-2, -4)

Question

If rectangle ABCD, defined by the coordinates A(0, 0), B(0, -4), C(-2, -4), D(-2, 0), is dilated by a scale factor of 2, with resulting vertex A' at (2, 4), what is the center of the dilation?
A)	(0, 0)	
B)	(2, 4)	
C)	(0, -4)	
D)	(-2, -4)

triciaal · Answer

hint   always do a sketch to "see" better

triciaal · Answer

scale factor of 2 means each length is multiplied by 2

math17 · Answer

so would it be a(0,0)

mathmate · Answer

@math17 
If the centre of dilation were at (0,0), then the point A(0,0) would stay put.
As @triciaal said, draw the points, at least A and A' using the coordinates given.  
In geometry, drawing a diagram from information given is half the work done.
Once you show the points, @triciaal or I will be glad to continue the work.

math17 · Answer

i did draw it out but  still dont understand and its due at 8

math17 · Answer

i did draw it out but  still dont understand and its due at 8