Reflections

Front

What is a reflection in geometry?

Back

A reflection is when you flip or mirror an object across a line, creating a mirror image.

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The result is (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is (-x, y).

Front

If a figure is reflected across the y-axis, how does the x-coordinate of each point change?

Back

The x-coordinate of each point changes sign.

Front

If a figure is reflected across the x-axis, how does the y-coordinate of each point change?

Back

The y-coordinate of each point changes sign.

Front

What axis is the image reflected over if the coordinates change from (x, y) to (x, -y)?

Back

The image is reflected over the x-axis.

Front

What axis is the image reflected over if the coordinates change from (x, y) to (-x, y)?

Back

The image is reflected over the y-axis.

Front

How can you determine if a figure is reflected across the x-axis or y-axis?

Back

You can determine this by observing the changes in the coordinates of the points.

Front

What is the effect of reflecting a shape across the line y = x?

Back

The effect is that the coordinates of each point are swapped, resulting in (y, x).

Front

What is the line of reflection?

Back

The line of reflection is the line across which a figure is flipped to create a mirror image.