Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−1, −8).

Question

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

Answer 1

To determine the translation direction and number of units for the image of triangle JKL, we need to analyze the movement of vertex J from its original position to its new position:

1. Original position of vertex J: J(−1, −5)
2. New position of vertex J′: J′(−1, −8)

Next, we find the change in the y-coordinate:

• Original y-coordinate: -5
• New y-coordinate: -8

Now, calculate the difference:

• Change in y-coordinate = New y-coordinate - Original y-coordinate
• Change in y-coordinate = -8 - (-5) = -8 + 5 = -3

The negative sign indicates that the movement is downward. Therefore, the vertex J moves 3 units down.

Now we can confirm that the translation direction is 3 units down.

So, the answer is: 3 units down.