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:

The coordinate stayed the same

Step-by-step explanation:

because when you reflect on the x-axis, the x-axis stays the same while the y-axis gets flipped. in this case, the coordinate is on the y-axis, or the y-axis is 0, and you can't flip 0 to get an opposite. the opposite of 0 is 0, so he coordinate stayed the same.

The value of reflected point is, (7, 0)

And, Any point on the line of reflection is invariant

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point (7, 0) is reflected over the x-axis.

Hence,

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

And, 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.

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

 (x, y) ⇒ (x, -y)

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

Thus, The value of reflected point is, (7, 0)

And, Any point on the line of reflection is invariant

Learn more about the coordinate visit:

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