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 A', B', and C"? (1 point)
O A' (-4, 1), B' (5, -2), and C" (-10, 1)
O A' (4, 1), B' (5, 2), and C' (10, 1)
O A' (-4,1), B' (-5,2), and C" (-10, 1)
O A' (1, -1), B' (5, -2), and C" (10, - 1)

Answer 1

When a point \((x, y)\) is reflected across the x-axis, the new coordinates become \((x, -y)\).

Given the coordinates of the points:

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

We can find the reflected points as follows:

- For A: A' = (-4, -(-1)) = (-4, 1)
- For B: B' = (-5, -(-2)) = (-5, 2)
- For C: C' = (-10, -(-1)) = (-10, 1)

Thus, the coordinates of the reflected points are:

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

The correct answer is:
**O A' (-4, 1), B' (-5, 2), and C' (-10, 1)**.