line AB contains point A (-4,1) and point B (-1,3) find the coordinates of A and B after dilation with a scale factor of 2 with a center point of dilation at the origin
To find the coordinates of A and B after dilation with a scale factor of 2 and a center point of dilation at the origin, we need to multiply each coordinate by the scale factor.
Since the center of dilation is at the origin, the coordinates of A and B will remain the same along the x-axis and y-axis respectively.
Coordinates of A after dilation:
x-coordinate: -4 * 2 = -8
y-coordinate: 1 * 2 = 2
Therefore, the coordinates of A after dilation are (-8, 2).
Coordinates of B after dilation:
x-coordinate: -1 * 2 = -2
y-coordinate: 3 * 2 = 6
Therefore, the coordinates of B after dilation are (-2, 6).
Line AB contains point A (1,2) and point B (-2,-1). Find the coordinates of A and B after dilation with a scale factor of 5 with a center point of dilation at the origin
To find the coordinates of A and B after dilation with a scale factor of 5 and a center point of dilation at the origin, we need to multiply each coordinate by the scale factor.
Coordinates of A after dilation:
x-coordinate: 1 * 5 = 5
y-coordinate: 2 * 5 = 10
Therefore, the coordinates of A after dilation are (5, 10).
Coordinates of B after dilation:
x-coordinate: -2 * 5 = -10
y-coordinate: -1 * 5 = -5
Therefore, the coordinates of B after dilation are (-10, -5).