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Triangle MNO

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

(5,−8)
left parenthesis 5 comma negative 8 right parenthesis

(−2,−1)
left parenthesis negative 2 comma negative 1 right parenthesis

(−2,−11)
left parenthesis negative 2 comma negative 11 right parenthesis

(2,−1)

1 answer

To find the new coordinates of point N after the translation, we start with the original coordinates of point N, which is (0, -6).

The translation process consists of two steps:

  1. Translating up by 5 units.
  2. Translating left by 2 units.

Step 1: Translate up 5 units.

  • The y-coordinate will change: -6 + 5 = -1.
  • The x-coordinate remains the same: 0.

So after translating up 5 units, the coordinates are (0, -1).

Step 2: Translate left 2 units.

  • The x-coordinate will change: 0 - 2 = -2.
  • The y-coordinate remains the same: -1.

After this step, the new coordinates of point N' are (-2, -1).

Thus, the answer is: (−2, −1).