Reflections

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 line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

If point A is at (3, 4), where is its reflection across the y-axis?

Back

The reflection of point A (3, 4) across the y-axis is (-3, 4).

Front

If point B is at (-2, -5), where is its reflection across the x-axis?

Back

The reflection of point B (-2, -5) across the x-axis is (-2, 5).

Front

What is the result of reflecting a shape across the x-axis?

Back

The shape will appear flipped vertically, with all y-coordinates changing sign.

Front

What is the result of reflecting a shape across the y-axis?

Back

The shape will appear flipped horizontally, with all x-coordinates changing sign.