Reflections

Front

What is the rule for reflecting a point across the line x = 3?

Back

To reflect a point (x, y) across the line x = 3, the new point will be (6 - x, y).

Front

What is the reflection of the point (6, -3) over the x-axis?

Back

The reflection is (6, 3).

Front

What does it mean to reflect a figure over the x-axis?

Back

Reflecting over the x-axis means that for every point (x, y) in the figure, the new point will be (x, -y).

Front

What does it mean to reflect a figure over the y-axis?

Back

Reflecting over the y-axis means that for every point (x, y) in the figure, the new point will be (-x, y).

Front

How do you determine the line of reflection for a given image?

Back

The line of reflection is the perpendicular bisector of the segment connecting each point of the original figure to its corresponding point in the image.

Front

What is the reflection of the point (-3, 6) over the y-axis?

Back

The reflection is (3, 6).

Front

If a figure is reflected over the line y = -4, what happens to the y-coordinates of its points?

Back

The y-coordinates of the points will be transformed to y' = -8 - y, where y is the original y-coordinate.

Front

What is the reflection of the point (3, -6) over the line y = -4?

Back

The reflection is (3, -2).

Front

What is the general rule for reflecting a point (x, y) over the line y = k?

Back

The new point will be (x, 2k - y).

Front

What is the reflection of the point (0, 0) over the line x = 3?

Back

The reflection is (6, 0).