Question
LMNP is rotated 180° 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 M' ?
A.
M' (–4, 3)
B.
M' (4, –3)
C.
M' (3, –4)
D.
M' (–3, –4)
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 M' ?
A.
M' (–4, 3)
B.
M' (4, –3)
C.
M' (3, –4)
D.
M' (–3, –4)
Answers
GPT-4o mini
To rotate a point 180° clockwise about the origin, we change the signs of both coordinates.
The coordinates of point M are (3, 4). Therefore, when we rotate M 180° clockwise around the origin, we transform it as follows:
1. Change the sign of the x-coordinate: from 3 to -3.
2. Change the sign of the y-coordinate: from 4 to -4.
Thus, the coordinates of M' after the rotation are (-3, -4).
So the correct answer is:
D. M' (–3, –4)
The coordinates of point M are (3, 4). Therefore, when we rotate M 180° clockwise around the origin, we transform it as follows:
1. Change the sign of the x-coordinate: from 3 to -3.
2. Change the sign of the y-coordinate: from 4 to -4.
Thus, the coordinates of M' after the rotation are (-3, -4).
So the correct answer is:
D. M' (–3, –4)