What are the coordinates of point 𝐵′ B'B

Question

′
if 𝐵 (B (−2, 3) is rotated degree270° clockwise around the origin. Click for Help Video.

Your answer must be listed as a coordinate so use parenthesis.

𝐵′=
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Answer 1

To find the coordinates of point \( B' \) after rotating point \( B(-2, 3) \) by \( 270^\circ \) clockwise around the origin, we can use the rotation formula.

Rotating a point \( (x, y) \) by \( 270^\circ \) clockwise can be done with this transformation: \[ (x, y) \rightarrow (y, -x) \]

Applying this to point \( B(-2, 3) \): \[ B' = (3, -(-2)) = (3, 2) \]

Therefore, the coordinates of point \( B' \) are: \[ \boxed{(3, 2)} \]