Answer :
Answer :
- J' = (-6,-1)
- K' = (-6,0)
- L' = (0,0)
- M' = (0,-1)
Explanation :
a translation of 8 units down means our new x-coordinate would become 8 less units than what it was in initial and one unit left means the y-coordinate would be one unit less than the initial one.
thus,
- x' = x - 8
- y' = y - 1
- vertex' = (x-8,y-1)
hence,
- 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)
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)