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'?

(7, –8)
(–7, 6)
(3, –12)
(2, 1)

Answer 1

To find the coordinates of the point H' after applying the translation rule T–5, 9(x, y), we need to apply the translation to the given coordinates of point H.

The translation rule T–5, 9 means that we subtract 5 from the x-coordinate and add 9 to the y-coordinate.

The coordinates of point H are given as (–2, –3).

Now we apply the translation:

1. For the x-coordinate:
\[
x' = x - 5 = -2 - 5 = -7
\]

2. For the y-coordinate:
\[
y' = y + 9 = -3 + 9 = 6
\]

So the coordinates of point H' after the translation are:
\[
H' = (-7, 6)
\]

Thus, the answer is \((-7, 6)\).