To find the coordinates of triangle ABC after reflecting it across the x-axis, we need to remember that the reflection of a point \((x, y)\) across the x-axis results in the point \((x, -y)\).
Let's apply this transformation to each of the points A, B, and C:
-
Point A (-4, -1):
- Reflection: \((-4, -(-1)) = (-4, 1)\)
-
Point B (-5, -2):
- Reflection: \((-5, -(-2)) = (-5, 2)\)
-
Point C (-10, -1):
- Reflection: \((-10, -(-1)) = (-10, 1)\)
So, the coordinates of triangle ABC after reflecting across the x-axis are:
- A' (-4, 1)
- B' (-5, 2)
- C' (-10, 1)
Thus, the coordinates of triangle A'B'C' are:
- A' (-4, 1)
- B' (-5, 2)
- C' (-10, 1)