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

Answer 1

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

Let's reflect each point of triangle ABC across the x-axis:

1. For point A \((-4, -1)\):
\[
A' = (-4, -(-1)) = (-4, 1)
\]

2. For point B \((-5, -2)\):
\[
B' = (-5, -(-2)) = (-5, 2)
\]

3. For point C \((-10, -1)\):
\[
C' = (-10, -(-1)) = (-10, 1)
\]

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

So the coordinates of points A, B, and C after reflection are:
- A' = \((-4, 1)\)
- B' = \((-5, 2)\)
- C' = \((-10, 1)\)