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

Question

1. (5,−8)
2. −2,−1)
3. (−2,−11)
4. (2,−1)

Answer 1

To find the new coordinates of point N after the triangle is translated up 5 units and left 2 units, we start with the original coordinates of point N, which are (0, -6).

1. Translate up 5 units:

   • The y-coordinate will increase by 5.
   • New y-coordinate: \(-6 + 5 = -1\)

2. Translate left 2 units:

   • The x-coordinate will decrease by 2.
   • New x-coordinate: \(0 - 2 = -2\)

Now, we combine the new coordinates:

• \(N' = (-2, -1)\)

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

The correct answer is: 2. (−2,−1)