Answer: The required co-ordinates of A after translation are (0, 1).
Step-by-step explanation: Given that the co-ordinates of the vertices of a rectangle ABCD are A(1,-2) B(4,-2) C(4,-4) and D(1,-4).
The rectangle ABCD is translated 1 unit o he left and 3 units up.
We are to find the co-ordinates of A after translation.
We know that
if a point (x, y) is translated a units to the left and b units up, then its co-ordinates changes according to the following rule :
(x, y) ⇒ (x-a, y+b).
In the given translation, a = 1 and b = 3.
Therefore, the new co-ordinates of A after translation are
A(1, -2) ⇒ (1-1, -2+3) = (0, 1).
Thus, the required co-ordinates of A after translation are (0, 1).
