To determine the translation direction and number of units for the image of triangle JKL, we need to compare the given coordinates of the original vertex J and its translated vertex J'.
Original vertex J is at (-1, -5).
Translated vertex J' is at (-1, -8).
Now, let's examine the changes between J and J':
1. Horizontal Change: The x-coordinate does not change (both are -1). Therefore, there is no horizontal movement (right or left).
2. Vertical Change: The y-coordinate changes from -5 to -8.
- We subtract the new y-coordinate from the original y-coordinate to find the change in the vertical direction:
[tex]\[
-8 - (-5) = -8 + 5 = -3
\][/tex]
- This result indicates that the point has moved downwards since the result of -3 indicates a movement in the negative y-direction.
3. Translation Direction: Since the y-coordinate has decreased, the translation is downward.
4. Number of Units: The translation is 3 units because the absolute value of -3 is 3.
Thus, the image of triangle JKL is translated 3 units down.
The correct multiple choice answer is:
- 3 units down
