Reflections on the Coordinate Plane

Front

What is a reflection in the context of the coordinate plane?

Back

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

Front

What is the line of reflection for a reflection over the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) is transformed to (-x, y).

Front

What is the line of reflection for a reflection over the x-axis?

Back

The line of reflection is the x-axis, where each point (x, y) is transformed to (x, -y).

Front

How do you find the reflection of a point across the y-axis?

Back

To find the reflection of a point (x, y) across the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

Front

How do you find the reflection of a point across the x-axis?

Back

To find the reflection of a point (x, y) across the x-axis, change the sign of the y-coordinate: the new point is (x, -y).

Front

What is the reflection of the point A (-6, -1) across the x-axis?

Back

The reflection of A (-6, -1) across the x-axis is A' (-6, 1).

Front

What is the reflection of the point R (-1, 6) over the y-axis?

Back

The reflection of R (-1, 6) over the y-axis is R' (1, 6).

Front

What is the reflection of the point F (3, 4) over the x-axis?

Back

The reflection of F (3, 4) over the x-axis is F' (3, -4).

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.