Question

Triangle PQR is drawn with coordinates P(0, 2), Q(0, 5), R(1, 4). Determine the translation direction and number of units if P′(−5, 2).

5 units to the right
5 units to the left
5 units down
5 units up

Answer 1

To find the translation from point P(0, 2) to point P'(-5, 2), we can analyze the change in the x and y coordinates.

1. The original point P has coordinates (0, 2).
2. The translated point P' has coordinates (-5, 2).

Now, let's calculate the changes in the coordinates:

- The x-coordinate changes from 0 to -5, which is a change of:
\[
-5 - 0 = -5
\]
This means P is moved 5 units to the left since the x-coordinate decreased.

- The y-coordinate remains unchanged, as it goes from 2 to 2:
\[
2 - 2 = 0
\]
This means there is no vertical movement.

In conclusion, the direction of the translation is **5 units to the left**.