Question & Answer

The triangle shown will be rotated 90° clockwise about the origin. What are the new coordinates of point B

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)

1 Answer

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Quizzma TeamMay 1, 2025

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!