With the center of dilation at the origin, the image is given by the product
of the corresponding point on the preimage and the scale factor.
- The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]
Reasons:
The center of dilation of quadrilateral MNOP = The origin
The image following the dilation of MNOP = M'N'O'P'
The scale factor of dilation = 1.5
Required:
The coordinates of N'
Solution:
The coordinates of N in MNOP = N(3, 3.5)
The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;
- (x', y') = Scale factor × (x, y)
Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
- The coordinates of N' = C) (4.5, 5.25)
Learn more about dilation transformation here:
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