Reflections on the Coordinate Plane

Front

What is the reflection of a point (x, y) over the y-axis?

Back

The reflection is (-x, y).

Front

What is the reflection of a point (x, y) over the x-axis?

Back

The reflection is (x, -y).

Front

What happens to the coordinates of a point when it is reflected over the line y = -x?

Back

The coordinates are swapped and negated: (x, y) becomes (-y, -x).

Front

If point A (3, 5) is reflected over the x-axis, what are the coordinates of A'?

Back

A' (3, -5).

Front

If point B (-2, 4) is reflected over the y-axis, what are the coordinates of B'?

Back

B' (2, 4).

Front

What is the result of reflecting point C (0, -4) over the x-axis?

Back

C' (0, 4).

Front

What quadrant does a point in quadrant II move to when reflected over the x-axis?

Back

It moves to quadrant III.

Front

What is the reflection of point D (4, 3) over the y-axis?

Back

D' (-4, 3).

Front

If triangle ABC is reflected over the x-axis and then over the y-axis, what is the final position of the triangle?

Back

The triangle will be in quadrant I if it started in quadrant III.

Front

What is the reflection of point E (5, -2) over the line y = -x?

Back

E' (2, -5).