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, you need to reverse the rotation process.
Since the triangle is rotated 180 degrees, each vertex is reflected across the origin. This means that the x-coordinate and y-coordinate of each vertex will be negated.
Let's apply the reflection process to each vertex:
1. (-4, 1)
Reversing the rotation, we negate the x-coordinate and the y-coordinate, giving us (4, -1).
2. (-1, 4)
Similarly, we negate the x-coordinate and y-coordinate, giving us (1, -4).
3. (-5, -8)
Again, we negate the x-coordinate and y-coordinate, giving us (5, 8).
Therefore, the coordinates of the vertices before the rotation are (4, -1), (1, -4), and (5, 8).
So, your answer of (1,-4), (4,-1), and (8,-5) is incorrect.