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 rotate point B (2, 4) by 90° clockwise about the origin, you can use the rotation formula for clockwise rotations, which is:
[
(x’, y’) = (y, -x)
]
For point B (2, 4):
1. Identify the original coordinates:
– x = 2
– y = 4
2. Apply the formula:
– ( x’ = y = 4 )
– ( y’ = -x = -2 )
Thus, the new coordinates of point B after rotation are (4, -2).
So, the answer is: (4, -2). Keep up the good work, and if you have more questions, feel free to ask!