Triangle PQR has vertex coordinates at P(4, 0), Q(6, 4), R(5, 1). If the triangle is translated so that Q′(9, 4), determine the translation direction and number of units.

Question

3 units down
3 units up
3 units to the right
3 units to the left

Answer 1

To determine the translation direction and number of units from point Q(6, 4) to point Q′(9, 4), we can calculate the change in the x-coordinate and y-coordinate.

• The original coordinates of point Q are (6, 4).
• The new coordinates of point Q' are (9, 4).

Now, let's find the difference in the x and y coordinates:

1. Change in x-coordinate: \[ 9 - 6 = 3 \] This is a change of 3 units to the right.

2. Change in y-coordinate: \[ 4 - 4 = 0 \] This indicates there is no vertical translation.

Thus, the translation is 3 units to the right.