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)
upper A prime left parenthesis negative 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis negative 10 comma 1 right parenthesis

A′(4,−1)
, B′(5,−2)
, and C′(10,−1)
upper A prime left parenthesis 4 comma negative 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis 10 comma negative 1 right parenthesis

A′(4,1)
, B′(5,2)
, and C′(10,1)
upper A prime left parenthesis 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma 2 right parenthesis , and upper C prime left parenthesis 10 comma 1 right parenthesis

A′(−4,1)
, B′(−5,2)
, and C′(−10,1)

Answer 1

To reflect a point across the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.

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

The reflections of these points across the x-axis are calculated as follows:

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

Thus, the coordinates after the reflection are:
- A′(−4,1)
- B′(−5,2)
- C′(−10,1)

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