Question

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

Answer 1

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:

1. Point A (-4, -1):
- Reflection: \((-4, -(-1)) = (-4, 1)\)

2. Point B (-5, -2):
- Reflection: \((-5, -(-2)) = (-5, 2)\)

3. 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)