Triangle MNO

Question

M
N
O
is translated up 5 units and left 2 units. Point N
N
is located at (0, −6)
(
0
,

−
6
)
. What are the coordinates of N′
N
′
?(1 point)
Responses

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

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

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

(−2,−1)

Answer 1

To find the new coordinates of point \( N' \) after translating point \( N(0, -6) \) up 5 units and left 2 units, you can follow these steps:

1. Translate Up 5 Units:

   • For the y-coordinate: \[-6 + 5 = -1\]
   • So the new coordinates after translating up are \( (0, -1) \).

2. Translate Left 2 Units:

   • For the x-coordinate: \[0 - 2 = -2\]
   • So the final coordinates after translating left are \( (-2, -1) \).

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

So the correct response is: \[ (-2, -1) \]