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Answer:
The dilation on any point of the rectangle is .
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
(1)
Where:
- Coordinates of the point G, dimensionless.
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of the point G', dimensionless.
If we know that ,
and
, then scale factor is:
The dilation on any point of the rectangle is:
(2)
The dilation on any point of the rectangle is .