Triangle PQR is drawn with coordinates P(0, 2), Q(0, 5), R(1, 4). Determine the translation direction and number of units if R′(−7, 4).

Question

8 units down
8 units up
8 units to the right
8 units to the left

Answer 1

To determine the translation direction and number of units from point R(1, 4) to point R'(−7, 4), we can compare the coordinates.

1. Starting coordinate of R: (1, 4)
2. Ending coordinate of R': (−7, 4)

Now we can analyze the x-coordinates and y-coordinates:

• The y-coordinate remains the same (4 → 4).
• The x-coordinate changes from 1 to -7.

To find how much it moves in the x-direction:

• Calculate the difference in x-coordinates: -7 - 1 = -8.

This means that point R moved 8 units to the left (since the x-coordinate decreased).

So, the translation direction is 8 units to the left.