Question

Reflect triangle ABC over the y axis. A(-1,2) B(2,1) C(4,5)

Answer 1

To reflect a point over the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.

Let's apply this to each vertex of triangle ABC:

1. **Point A(-1, 2)**:
- Reflection: A' = (1, 2)

2. **Point B(2, 1)**:
- Reflection: B' = (-2, 1)

3. **Point C(4, 5)**:
- Reflection: C' = (-4, 5)

So, after reflecting triangle ABC over the y-axis, the new vertices are:

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

The reflected triangle A'B'C' has vertices A'(1, 2), B'(-2, 1), and C'(-4, 5).