The triangle shown will be rotated 90° clockwise about the origin. What are the new coordinates of point B?
A (2, -4)
B (2, 4)
C (4, -2)
D (-4, -2)
The triangle shown will be rotated 90° clockwise about the origin. What are the new coordinates of point B?
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To find the new coordinates of point B after a 90° clockwise rotation about the origin, we can use the rotation formula. For a point (x, y), the new coordinates after a 90° clockwise rotation become (y, -x).
Point B has coordinates (2, 4). Using the formula:
1. Take the original x-coordinate (2) and the y-coordinate (4).
2. The new x-coordinate will be the old y-coordinate: 4.
3. The new y-coordinate will be the negative of the old x-coordinate: -2.
So, the new coordinates of point B after the rotation are (4, -2).
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