Answer:
A
Step-by-step explanation:
Step 1, Identify the coordinates of each vertices in the pre image
A ( -2 , 3 )
B ( 1 , 3 )
C ( 3 , -6 )
D ( -4 . -6 )
Step 2 apply dilation.
To apply the dilation we multiply the x and y values by the scale factor. ( assuming that the dilation is about the origin. )
The scale factor is 2 so we multiply the x and y values of the coordinates by 2, which is as simple as it sounds.
A ( -2 , 3 ) -------> A' ( -4 , 6 )
B ( 1 , 3 ) --------> B' ( 2 , 6 )
C ( 3 , -6 ) ---------> C' ( 6 , -12 )
D ( -4 , -6 ) ----------> D' ( -8 , -12 )
Hence the new coordinates are A' ( -4, 6 ), B' ( 2 , 6 ), C' ( 6 , -12 ), D' ( -8 , -12) Which corresponds with answer choice A
