Answer:
J' = (-6, -1)
K' = (-6, 0)
L' = (0, 0)
M' = (0, -1)
Step-by-step explanation:
The coordinates of the vertices of figure JKLM are:
- J(2, 0)
- K(2, 1)
- L(8, 1)
- M(8, 0)
In geometry, a translation is a transformation that moves every point of a figure by the same distance in a specified direction without altering its size, shape, or orientation.
When a figure is translated n units left, n is subtracted from its x-coordinate. When a figure is translated n units down, n is subtracted from its y-coordinate.
If figure JKLM is translated 8 units left and 1 unit down, we subtract 8 from the x-coordinates and subtract 1 from the y-coordinates of each vertex of the figure:
(x, y) → (x - 8, y - 1)
Therefore, the coordinates of the vertices after the translation are:
J' = (2 - 8, 0 - 1) = (-6, -1)
K' = (2 - 8, 1 - 1) = (-6, 0)
L' = (8 - 8, 1 - 1) = (0, 0)
M' = (8 - 8, 0 - 1) = (0, -1)
