After a triangle is rotated 180 degrees, its vertices are at (-4,1),(-1,4), and (-5,-8). What were the coordinates of the vertices before the rotation?
I think the answer is (1,-4), (4,-1),(8,-5). Is this right?
To find the coordinates of the vertices before the rotation, we need to reverse the rotation process. In this case, the triangle was rotated 180 degrees, which means each vertex was rotated by 180 degrees around a certain point.
To reverse the rotation of each vertex, we can perform the same rotation again. In a 2D plane, rotating a point (x, y) by 180 degrees around the origin is equivalent to negating the sign of both x and y, giving us (-x, -y).
Let's apply this process to each given vertex:
1. (-4, 1): After reversing the rotation, we get (4, -1).
2. (-1, 4): After reversing the rotation, we get (1, -4).
3. (-5, -8): After reversing the rotation, we get (5, 8).
So, the correct coordinates of the vertices before the rotation are (4, -1), (1, -4), and (5, 8).
Therefore, your answer is not correct. The correct coordinates are (4, -1), (1, -4), and (5, 8).