Geometry Transformation - 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 (x, y) 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 (x, y) 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

Reflect the point (3, 5) over the y-axis. What is the new point?

Back

(-3, 5)

Front

Reflect the point (-1, -2) over the x-axis. What is the new point?

Back

(-1, 2)

Front

If point A(4, 3) is reflected over the y-axis, what are the coordinates of A'?

Back

A'(-4, 3)

Front

If point C(-2, 6) is reflected over the x-axis, what are the coordinates of C'?

Back

C'(-2, -6)

Front

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

Back

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

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

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