The vertices of triangle JKL, shown below, are J(2, 1), K(4, 4), and L(6, 2).

If triangle JKL is translated 2 units to the left and 4 units down, what are the new coordinates of Point L?

Question

The vertices of triangle JKL, shown below, are J(2, 1), K(4, 4), and L(6, 2).

If triangle JKL is translated 2 units to the left and 4 units down, what are the new coordinates of Point L?

carmelle · Answer

Rules:

Left 2 → (x - 2)
Down 4 → (y - 4)

Now, let's find L.

L (6, 2) → (6 - 2, 2 - 4)

We solve by subtracting...

6 - 2 = 4   ( `x` , y )
2 - 4 = -2  ( x , `y` )

This means, 4 is our new x-coordinate and -2 is our new y-coordinate.
Therefore, your final answer is (4,-2).

L (6, 2) → `L' (4,-2)`