To determine the translation direction and the number of units of the image of triangle JKL, we need to compare the original position of vertex J to the position of the translated vertex J'.
Vertex J originally is at the coordinates (-1, -5).
After the translation, vertex J' is at (-1, 5).
To find the translation direction and number of units, we look at the change in the x-coordinate and the y-coordinate from the original vertex J to the translated vertex J'.
The x-coordinate of vertex J is -1, and the x-coordinate of vertex J' is also -1. Therefore, there has been no change in the x-coordinate, which means there is no translation to the left or to the right.
The y-coordinate of vertex J is -5, and the y-coordinate of vertex J' is 5. The change in the y-coordinate can be found by subtracting the original y-coordinate from the new y-coordinate:
Change in y-coordinate = y-coordinate of J' - y-coordinate of J
Change in y-coordinate = 5 - (-5)
Change in y-coordinate = 5 + 5
Change in y-coordinate = 10
Since the change in the y-coordinate is positive, this means the translation has occurred upwards.
So, the triangle has been translated 10 units up.
The correct answer is:
10 units up.
