Line AB contains point A(1,2) and point B(-2,-1). Find the coordinates of A' and B' after a dilation with a scale factor of 5 with a center point of iat the origin.
To find the coordinates of the image points A' and B' after a dilation with a scale factor of 5 and a center of (0,0) (origin), we can use the formula:
(x', y') = (hx, hy)
Where (x', y') are the coordinates of the image point, (x, y) are the coordinates of the original point, and h is the scale factor.
For point A(1, 2):
x' = 5 * 1 = 5
y' = 5 * 2 = 10
So point A' has the coordinates (5, 10).
For point B(-2, -1):
x' = 5 * (-2) = -10
y' = 5 * (-1) = -5
So point B' has the coordinates (-10, -5).
Therefore, the coordinates of A' are (5, 10) and the coordinates of B' are (-10, -5).
To find the coordinates of A' and B' after a dilation with a scale factor of 5 and center point at the origin, you can use the formula:
A' = (5 * xA, 5 * yA)
B' = (5 * xB, 5 * yB)
Given the coordinates of point A(1, 2) and point B(-2, -1), let's calculate the coordinates of A' and B'.
For point A:
xA' = 5 * 1 = 5
yA' = 5 * 2 = 10
Therefore, the coordinates of A' are (5, 10).
For point B:
xB' = 5 * -2 = -10
yB' = 5 * -1 = -5
Therefore, the coordinates of B' are (-10, -5).
So, the coordinates of A' are (5, 10) and the coordinates of B' are (-10, -5).