A rectangle has vertices J(3, 3), K(9, 3), L(9, 6), and M(3, 6). Give the coordinates after dilating from the origin by a scale factor of 2/3.

Given that a rectangle has vertices J(3, 3), K(9, 3), L(9, 6), and M(3, 6).

We need to determine the coordinates of the rectangle after dilating from the origin by a scale factor of

Dilation of the coordinates J(3, 3):

To dilate the coordinates J(3, 3), we shall multiply it with the factor of

Thus, we have;

Thus, the coordinates after dilation is J'(2,2)

Dilation of the coordinates K(9,3):

To dilate the coordinates K(9,3), we shall multiply it with the factor of

Thus, we have;

Thus, the coordinates after dilation is K'(6,2)

Dilation of the coordinates L(9,6):

To dilate the coordinates L(9,6), we shall multiply it with the factor of

Thus, we have;

Thus, the coordinates after dilation is L'(6,4)

Dilation of the coordinates M(3,6):

To dilate the coordinates M(3,6), we shall multiply it with the factor of

Thus, we have;

Thus, the coordinates after dilation is M'(2,4)

Hence, the coordinates of the rectangle after dilation are J'(2,2), K'(6,2), L'(6,4) and M'(2,4)

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step-by-step explanation: