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
1.A′(−4,1), B′(5,−2), and C′(−10,1)
2.A′(4,−1), B′(5,−2), and C′(10,−1)
3.A′(−4,1), B′(−5,2), and C′(−10,1)
4.A′(4,1), B′(5,2), and C′(10,1)
The coordinates of a point reflected across the x-axis keep the same x-coordinate and have the opposite y-coordinate.
So, for point A(-4,-1), the x-coordinate stays the same (since it is the reflection across the x-axis) and the y-coordinate becomes positive (since it is the opposite of -1). Therefore, A' has coordinates (-4, 1).
Similarly, for point B(-5,-2), the x-coordinate stays the same and the y-coordinate becomes positive. So, B' has coordinates (-5, 2).
For point C(-10,-1), again, the x-coordinate stays the same and the y-coordinate becomes positive. So, C' has coordinates (-10, 1).
Thus, the coordinates of A', B', and C' are A'(-4,1), B'(-5,2), and C'(-10,1).
The correct answer is option 3: A'(−4,1), B'(−5,2), and C'(−10,1).