Question

If figure PQRS is translated 6 units up and 4 units to the left, what are the coordinates of point S'?
(1 point

P is (6, 4)
S is (2, 2)
Q is (2, 7)
R is (-2, 5)

Answer 1

To find the new coordinates of point S after the translation, we need to apply the translation vector to the original coordinates of point S.

The translation is described as moving 6 units up and 4 units to the left. This means:

- Moving up 6 units affects the y-coordinate by adding 6.
- Moving to the left 4 units affects the x-coordinate by subtracting 4.

The original coordinates of point S are (2, 2).

Now, apply the translation:

1. For the x-coordinate:
\( x' = 2 - 4 = -2 \)

2. For the y-coordinate:
\( y' = 2 + 6 = 8 \)

Therefore, the new coordinates of point S', after the translation, are:

\[
S' = (-2, 8)
\]