Samantha drew Δ JKL with the coordinates (2, 3), (4, 3), and (5, 2). She reflected this triangle over the x-axis to create an image. What are the coordinates of the image?
leave x the same
change sign of y
To reflect a point over the x-axis, you simply change the sign of the y-coordinate while keeping the x-coordinate the same. In this case, the triangle ΔJKL has the coordinates (2, 3), (4, 3), and (5, 2). To find the image of each point after reflecting over the x-axis, we just change the sign of the y-coordinate, like so:
(2, 3) -> (2, -3)
(4, 3) -> (4, -3)
(5, 2) -> (5, -2)
Therefore, the coordinates of the image of triangle ΔJKL after reflecting over the x-axis are (2, -3), (4, -3), and (5, -2).