Line segment A B has endpoints A (-6, 4) and B (-8, 2). Find the coordinates of A' and B' after a dilation with a scale factor of 1/2, centered at the origin.
To find the new coordinates after a dilation with a scale factor of 1/2, we multiply the x and y coordinates of each point by the scale factor.
For point A:
New x-coordinate of A' = (-6) * (1/2) = -3
New y-coordinate of A' = 4 * (1/2) = 2
Therefore, the coordinates of A' are (-3, 2).
For point B:
New x-coordinate of B' = (-8) * (1/2) = -4
New y-coordinate of B' = 2 * (1/2) = 1
Therefore, the coordinates of B' are (-4, 1).
So, after the dilation with a scale factor of 1/2, centered at the origin, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).
Triangle ABC has vertices point A (2, 1), point B (4, 3), and point C (-2, 5). Find coordinated of A', B', and C' after a dilation with a scale factor of 4 and a center point of dilation at the origin (0, 0)
To find the new coordinates after a dilation with a scale factor of 4 and a center point at the origin, we multiply the x and y coordinates of each point by the scale factor.
For point A:
New x-coordinate of A' = (2) * (4) = 8
New y-coordinate of A' = (1) * (4) = 4
Therefore, the coordinates of A' are (8, 4).
For point B:
New x-coordinate of B' = (4) * (4) = 16
New y-coordinate of B' = (3) * (4) = 12
Therefore, the coordinates of B' are (16, 12).
For point C:
New x-coordinate of C' = (-2) * (4) = -8
New y-coordinate of C' = (5) * (4) = 20
Therefore, the coordinates of C' are (-8, 20).
So, after the dilation with a scale factor of 4 and a center point at the origin, the coordinates of A' are (8, 4), the coordinates of B' are (16, 12), and the coordinates of C' are (-8, 20).