The dilation transformation gives an image that is similar to the pre-image
but have a different size.
- Please find attached the required graph of the image created with MS Excel
Reasons:
Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)
The scale factor of dilation = 3
The center of dilation = (-7, -6)
Required:
The graph of the image following the dilation.
Solution:
The given points relative to the center of dilation are;
(-7 - (-7), -3 - (-6)) = (0, 3)
(-3 - (-7), -2 - (-6)) = (4, 4)
(-4 - (-7), -5 - (-6)) = (3, 1)
Following the dilation gives;
3 × (0, 3) = (0, 9)
3 × (4, 4) = (12, 12)
3 × (3, 1) = (9, 3)
Adding the coordinates of the center of dilation to the above relative points of the image gives;
Location of point A' = (0 + (-7) , 9 + (-6)) = (-7, 3)
Location of point B' = (12 + (-7) , 12 + (-6)) = (5, 6)
Location of point C' = (9 + (-7) , 3 + (-6)) = (2, -3)
Therefore, the image is; A'(-7, 3), B'(5, 6), C'(2, -3)
Learn more about dilation transformation here:
