Question & Answer

Graph the image of V(−5, −1) after a rotation 270° counterclockwise around the origin.

Graph the image of V(−5, −1) after a rotation 270° counterclockwise around the origin.

1. (−1, 5)
2. (1, 5)
3. (5, 1)
4. (−5, 1)

1 Answer

Verified archive
Quizzma TeamApril 27, 2025

To determine the image of the point V(−5, −1) after a rotation of 270° counterclockwise around the origin, we can use the following rotation rule:

For a rotation of 270° counterclockwise, the coordinates (x, y) transform to (y, -x).

Applying this to V(−5, −1):
1. Original point: (−5, −1)
2. Applying the transformation: (−1, -(-5)) = (−1, 5)

So, the image of V(−5, −1) after a 270° rotation is (−1, 5).

The correct answer is Option 1: (−1, 5).

Feel free to check our extended services page for more in-depth assistance!