Question

Triangle ABC is reflected across the x-axis. If the coirdinates of the original shape are A (-4, -1), B (-5, -2) and C (-10, -1), what are the coordinates of A', B', and C'

Answer 1

When a point \((x, y)\) is reflected across the x-axis, the y-coordinate changes sign, while the x-coordinate remains the same. Therefore, the reflection of point \((x, y)\) across the x-axis is \((x, -y)\).

Given the coordinates of the original triangle:

- A(-4, -1)
- B(-5, -2)
- C(-10, -1)

We will reflect each point across the x-axis:

1. **Point A (-4, -1)**:
\[
A' = (-4, -(-1)) = (-4, 1)
\]

2. **Point B (-5, -2)**:
\[
B' = (-5, -(-2)) = (-5, 2)
\]

3. **Point C (-10, -1)**:
\[
C' = (-10, -(-1)) = (-10, 1)
\]

Thus, the coordinates of the reflected points are:
- A' = (-4, 1)
- B' = (-5, 2)
- C' = (-10, 1)