Question

The coordinates of the vertices of a triangle are (2, 3), (5, 1), and (6, 4). After one reflection, the coordinates of the vertices of the triangle's image are (2, -3), (5, -1), and (6,-4). Over what line has the triangle been reflected? Select the answer from the drop-down list to correctly complete the sentence. is it x-axis or y-axis​

Answer 1

Answer: x-axis

Step-by-step explanation:

The point (2,3) moves to (2, -3)

The x coordinate stays the same, but the y coordinate flipped from positive to negative. Therefore, the rule used is
`(\text{x},\text{y}) \to (\text{x}, -\text{y})` which is a reflection over the horizontal x axis.