Question

2,3
4,3
4,5
3,6
2,5
rotate counterclockwise 180 degrees what will the new points be

Answer 1

To rotate a point \( (x, y) \) counterclockwise 180 degrees around the origin, the new coordinates will be \( (-x, -y) \).

Let's apply this to each point you provided:

1. \( (2, 3) \) becomes \( (-2, -3) \)
2. \( (4, 3) \) becomes \( (-4, -3) \)
3. \( (4, 5) \) becomes \( (-4, -5) \)
4. \( (3, 6) \) becomes \( (-3, -6) \)
5. \( (2, 5) \) becomes \( (-2, -5) \)

So, the new points after a 180-degree counterclockwise rotation are:

1. \( (-2, -3) \)
2. \( (-4, -3) \)
3. \( (-4, -5) \)
4. \( (-3, -6) \)
5. \( (-2, -5) \)