Answer: the correct option is
(A) (1, -4).
Step-by-step explanation: The trapezoid JKLM is shown on the co-ordinate plane.
The co-ordinates of the vertices of trapezoid JKLM are J(-6, 5), K(-3, 5), L(-1, 2) and M(-8, 2).
The trapezoid JKLM is translated according to the following rule :
(x, y) → (x + 2, y − 6).
We are to find the co-ordinates of point L'
Since the co-ordinates of point L are (-1, 2), so the co-ordinates of the point L' will be
L(-1, 2) → L'(-1+2, 2-6)= L'(1, -4).
Thus, the co-ordinates of point L' are (1, -4).
Option (A) is CORRECT.
