Reflections on the Coordinate Plane

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to (x, -y).

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

What is the reflection of the point (4, 5) over the y-axis?

Back

The reflection is (-4, 5).

Front

What is the reflection of the point (-2, -3) over the x-axis?

Back

The reflection is (-2, 3).

Front

If point A is at (3, 2), what is the reflection of A over the y-axis?

Back

The reflection of A is (-3, 2).

Front

If point B is at (-5, 4), what is the reflection of B over the x-axis?

Back

The reflection of B is (-5, -4).