Question
Question at position 3
Debra rotated point B(-3, 2) 90
counterclockwise, what are the coordinates of B'?
Debra rotated point B(-3, 2) 90
counterclockwise, what are the coordinates of B'?
Answers
GPT-4o mini
To rotate a point \( B(x, y) \) 90 degrees counterclockwise about the origin, you can use the following transformation formula:
\[
(x, y) \rightarrow (-y, x)
\]
For point \( B(-3, 2) \):
- The \( x \)-coordinate is \(-3\) and the \( y \)-coordinate is \(2\).
Applying the transformation:
\[
(-3, 2) \rightarrow (-2, -3)
\]
Therefore, the coordinates of \( B' \) after the 90-degree counterclockwise rotation are:
\[
B'(-2, -3)
\]
\[
(x, y) \rightarrow (-y, x)
\]
For point \( B(-3, 2) \):
- The \( x \)-coordinate is \(-3\) and the \( y \)-coordinate is \(2\).
Applying the transformation:
\[
(-3, 2) \rightarrow (-2, -3)
\]
Therefore, the coordinates of \( B' \) after the 90-degree counterclockwise rotation are:
\[
B'(-2, -3)
\]