The new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.
What is transformation of dilation?
Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.
For the given situation,
Quadrilateral JKLM is dilated by a scale factor of 2 with a center of dilation at the origin to form quadrilateral J' K’ L’ M’.
To dilate the figure by a factor of 2, we need to multiply the x and y-value of each point by 2.
Here the coordinates of J is (3,2).
The dilation factor is 2, so multiply both the x and y value by 2.
Thus x value is
[tex]3(2)=6[/tex]
and y value is
[tex]2(2)=4[/tex]
Hence we can conclude that the new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.
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