Question

What is the image of (-25, -33) under a reflection over the line y = 0?

a) (-25, 33)
b) (25, -33)
c) (-25, -33)
d) (25, 33)

Answer 1

The image of (-25, -33) under a reflection over the line y = 0 is (25, -33).

Step-by-step explanation:

To find the image of the point (-25, -33) under a reflection over the line y = 0, we apply the rule that reflects a point over the y-axis. In this case, since the line of reflection is y = 0, which is the x-axis, the x-coordinate of the image becomes the opposite of the original x-coordinate, while the y-coordinate remains unchanged. The new coordinates are obtained by changing the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, the image of (-25, -33) is (25, -33). The point is reflected across the x-axis, resulting in the x-coordinate changing its sign.