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 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) 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 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)

Answer 1

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

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

To find the reflected points:
- A' will be (−4, 1)
- B' will be (−5, 2)
- C' will be (−10, 1)

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

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