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

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

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

What is the result of reflecting the point (3, 4) over the y-axis?

Back

The result is (-3, 4).

Front

What is the result of reflecting the point (-2, -5) over the x-axis?

Back

The result is (-2, 5).

Front

What is the result of reflecting the point (0, 0) over any axis?

Back

The result is (0, 0) because the origin remains unchanged.

Front

What is the line of reflection?

Back

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

Front

If point A is at (2, 3), what is the reflection of A over the x-axis?

Back

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

Front

If point B is at (-1, 5), what is the reflection of B over the y-axis?

Back

The reflection of B over the y-axis is (1, 5).

Front

What is the difference between reflection and rotation?

Back

Reflection flips a figure over a line, while rotation turns a figure around a point.