Triangle MNO is translated up 5 units and left 2 units. Point N is located at (0, −6) . What are the coordinates of N′ ?

(2,-1)
(-2,-11)
(5,-8)
(-2,-1)

1 answer

To find the coordinates of N', we need to apply the given translation to the coordinates of N.

Since the translation moves the triangle 5 units up and 2 units left, we add 5 to the y-coordinate and subtract 2 from the x-coordinate of N.

The initial coordinates of N are (0, -6).

Adding 5 to the y-coordinate: -6 + 5 = -1.
Subtracting 2 from the x-coordinate: 0 - 2 = -2.

Therefore, the coordinates of N' are (-2, -1).

So the correct answer is (-2, -1).