Reflections on the Coordinate Plane

Front

What is a reflection in the coordinate plane?

Back

A reflection in the coordinate plane is a transformation that flips a figure over a line, creating a mirror image.

Front

What are the two main axes in the coordinate plane?

Back

The two main axes are the x-axis (horizontal) and the y-axis (vertical).

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: (x, y) becomes (x, -y).

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: (x, y) becomes (-x, y).

Front

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

Back

The reflection of (2, 3) over the x-axis is (2, -3).

Front

What is the reflection of the point (-5, -2) over the y-axis?

Back

The reflection of (-5, -2) over the y-axis is (5, -2).

Front

If a point is reflected over both axes, what happens to its coordinates?

Back

If a point (x, y) is reflected over both axes, its coordinates become (-x, -y).

Front

What is the reflection of the point (0, -4) over the x-axis?

Back

The reflection of (0, -4) over the x-axis is (0, 4).

Front

What is the reflection of the point (-3, 1) over both axes?

Back

The reflection of (-3, 1) over both axes is (3, -1).

Front

What happens to a point on the x-axis when reflected over the x-axis?

Back

A point on the x-axis remains unchanged when reflected over the x-axis.