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)