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)
Responses

A′(4,1), B′(5,2), and C′(10,1)

A′(4,−1), B′(5,−2), and C′(10,−1)

A′(−4,1), B′(−5,2), and C′(−10,1)

A′(−4,1), B′(5,−2), and

Answer 1

When a point \((x, y)\) is reflected across the x-axis, its y-coordinate changes sign, while the x-coordinate remains the same.

Given the points:
- A(−4,−1)
- B(−5,−2)
- C(−10,−1)

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

1. A(−4,−1) → A′(−4, 1)
2. B(−5,−2) → B′(−5, 2)
3. C(−10,−1) → C′(−10, 1)

So, the new coordinates are:
- A′(−4, 1)
- B′(−5, 2)
- C′(−10, 1)

The correct response is:
A′(−4,1), B′(−5,2), and C′(−10,1).