triangle ABC, with vertices A(2,3), B(4,-4), C(6,8), is reflected across the x-axis to form a triangle A'B'C'. Give the new coordinates for triangle A'B'C'.
A (2,-3)b(4,4) C (6,-8)
i think these are most likely
To reflect a point across the x-axis, you need to change the sign of the y-coordinate and keep the x-coordinate the same.
Given triangle ABC with vertices A(2,3), B(4,-4), and C(6,8), let's reflect these points across the x-axis to find the coordinates of the new triangle A'B'C'.
1. For point A(2,3):
- Change the sign of the y-coordinate, so it becomes -3.
- The x-coordinate remains the same, so it stays as 2.
- The new coordinates for A' are (2, -3).
2. For point B(4,-4):
- Change the sign of the y-coordinate, so it becomes 4.
- The x-coordinate remains the same, so it stays as 4.
- The new coordinates for B' are (4, 4).
3. For point C(6,8):
- Change the sign of the y-coordinate, so it becomes -8.
- The x-coordinate remains the same, so it stays as 6.
- The new coordinates for C' are (6, -8).
Therefore, the new coordinates for triangle A'B'C' are A'(2, -3), B'(4, 4), and C'(6, -8).