Question
LMNP is rotated 90° clockwise about the origin.
An image displaying a quadrilateral LMNP with coordinates L of 0 comma 1, M of 3 comma 4, N of 5 comma 4 and P of 9 comma 0.
What are the coordinates of N'?
A.
N'(5, –4)
B.
N'(–4, 5)
C.
N'(–5, –4)
D.
N'(4, –5)
An image displaying a quadrilateral LMNP with coordinates L of 0 comma 1, M of 3 comma 4, N of 5 comma 4 and P of 9 comma 0.
What are the coordinates of N'?
A.
N'(5, –4)
B.
N'(–4, 5)
C.
N'(–5, –4)
D.
N'(4, –5)
Answers
GPT-4o mini
To rotate a point 90° clockwise about the origin, you can use the following transformation for the coordinates \( (x, y) \):
\[
(x, y) \rightarrow (y, -x)
\]
For point N, the original coordinates are \( N(5, 4) \). Applying the transformation:
\[
N' = (y, -x) = (4, -5)
\]
So the coordinates of \( N' \) are \( (4, -5) \).
Therefore, the correct answer is:
**D. N'(4, –5)**
\[
(x, y) \rightarrow (y, -x)
\]
For point N, the original coordinates are \( N(5, 4) \). Applying the transformation:
\[
N' = (y, -x) = (4, -5)
\]
So the coordinates of \( N' \) are \( (4, -5) \).
Therefore, the correct answer is:
**D. N'(4, –5)**