Answer :
The dilation of pentagon KLMNP with the origin as the center of dilation results in a new pentagon that is either larger or smaller than the original, but has the same shape. The size of the new pentagon is determined by the scale factor of the dilation.
If the scale factor is greater than 1, the new pentagon will be larger than the original. If the scale factor is less than 1, the new pentagon will be smaller than the original. If the scale factor is equal to 1, the new pentagon will be the same size as the original.
To find the coordinates of the new pentagon, we can use the formula (x', y') = (kx, ky), where (x, y) are the coordinates of a point on the original pentagon, (x', y') are the coordinates of the corresponding point on the new pentagon, and k is the scale factor.
For example, if the coordinates of point K on the original pentagon are (2, 3) and the scale factor is 2, the coordinates of point K on the new pentagon would be (2*2, 3*2) = (4, 6).
We can use this formula to find the coordinates of all the points on the new pentagon and then use those coordinates to draw the new pentagon.
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