Question

Rectangle EFGH is translated according to the rule T -5,9(x,y). If the coordinates of the pre-image of point H are(-2,-3) what are the coordinates of H’

Answer 1

The new coordinates of H would be (-7,6).

Answer 2

Answer: The co-ordinates of the image H' are (-7, 6).

Step-by-step explanation: Given that the rectangle EFGH is translated according to the following rule :

`T_(-5,9)(x,y).`

We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).

We know that

`T_(h,k)(x,y)=(x+h,y+k).`

For the given information, we have

(h, k) = (-5, 9) ⇒ h = -5 and k = 9.

Therefore, we get

`T_(-5,9)(-2,-3)=(-2-5,-3+9)=(-7,6).`

Thus, the co-ordinates of the image H' are (-7, 6).