The point A(-8,-2) is dilated about the origin by a scale factor of k=1/2 find the coordinates of A after the dilation
To find the coordinates of point A after the dilation, we need to multiply the coordinates of point A by the scale factor, which is k = 1/2.
The formula for dilation about the origin is:
(x', y') = (kx, ky)
Let's apply this formula to point A(-8, -2):
x' = (1/2) * (-8)
= -4
y' = (1/2) * (-2)
= -1
Therefore, the coordinates of point A after the dilation are (-4, -1).
To find the coordinates of A after the dilation, we can use the formula for dilation:
(x', y') = (kx, ky)
where (x', y') represents the coordinates of the image point after dilation, (x, y) represents the coordinates of the original point, and k represents the scale factor.
In this case, the scale factor is k=1/2, and the original point A has the coordinates A(-8, -2).
By substituting these values into the formula, we can calculate the coordinates of the image point:
(x', y') = (1/2 * -8, 1/2 * -2)
= (-4, -1)
So, after the dilation with a scale factor of k=1/2, the point A(-8, -2) is mapped to A'(-4, -1).