Question

The point (7,0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this

Answer 1

• reflected point: (7, 0)
• any point on the line of reflection is invariant

Explanation:

The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.

The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.

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The transformation for reflection in the x-axis is ...

(x, y) ⇒ (x, -y)

(7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0