Question

Triangle ABC ABC is reflected across the xx-axis. If the coordinates of the original shape are A(−4,−1)A(−4,−1), B(−5,−2)B(−5,−2), and C(−10,−1)C(−10,−1), what are the coordinates of A′A′, B′B′, and C′C′?(1 point)ResponsesA′(−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′(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 parenthesisA′(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 parenthesisA′(−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

Answer 1

To reflect a point across the x-axis, you keep the x-coordinate the same and change the sign of the y-coordinate.

So, the coordinates of A' would be (-4, 1) since the x-coordinate remains the same (-4) and the y-coordinate changes from -1 to 1.

Similarly, the coordinates of B' would be (-5, 2) and the coordinates of C' would be (-10, 1).

Therefore, the correct answer is: A'(−4,1), B'(−5,2), and C'(−10,1)