Question

On a coordinate grid, point P is at (1, 7) and point R is at (−2, −3). Points Q and S are a reflection of both points across the x-axis.

What are the coordinates of Q and S? (1 point)

Q(−1, 7), S(2, −3)
Q(−1, −7), S(2, 3)
Q(−1, 7), S(−2, 3)
Q(1, −7), S(−2, 3)

Answer 1

To reflect over the x axis, we use the rule \( (x,y) \to (x, -y)\)
The x coordinate stays the same while the y coordinate flips from positive to negative, or vice versa.

For example, the point (7,9) reflects over to (7, -9)
Another example: (2, -3) moves to (2, 3)

If point P is located at (1,7), then where does point P move after we reflect it over the x axis?

Answer 2

It might help to draw out a picture

Answer 3

Where does P go after we reflect over the x axis?