Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
just help. i’m trynna get thru this MAP test
just help. i’m trynna get thru this
To find the coordinates of the image points M′ and N′ after dilation, we can use the formula for dilation:
(x', y') = (k * x, k * y)
where (x, y) are the original coordinates, (x', y') are the image coordinates, and k is the scale factor.
Given that the scale factor is 0.8 and the coordinates of point M are (2, 4), we can find the coordinates of M′ as follows:
x' = 0.8 * x = 0.8 * 2 = 1.6
y' = 0.8 * y = 0.8 * 4 = 3.2
Therefore, the coordinates of point M′ are (1.6, 3.2).
Similarly, for point N with coordinates (3, 5):
x' = 0.8 * x = 0.8 * 3 = 2.4
y' = 0.8 * y = 0.8 * 5 = 4
Therefore, the coordinates of point N′ are (2.4, 4).
Please note that these calculations assume that the dilation acts on the x and y coordinates independently.
I disagree.
But, I will say that
M' = (2,4)*0.8 = (1.6,3.2)
You can find others the same way.