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 negative 4 comma 1 right parenthesis , upper B prime left parenthesis negative 5 comma 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

To find the coordinates of points A', B', and C' after reflecting triangle ABC across the x-axis, we need to change the y-coordinates of the points while keeping the x-coordinates the same. Specifically, the transformation for each point (x, y) becomes (x, -y).

Given the original coordinates:
- A(-4, -1) becomes A'(-4, 1)
- B(-5, -2) becomes B'(-5, 2)
- C(-10, -1) becomes C'(-10, 1)

Therefore, the coordinates after 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)