Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

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

Back

The coordinates become (-x, y).

Front

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

Back

The coordinates become (x, -y).

Front

What is the result of a 90° clockwise rotation of the point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the result of a 90° counterclockwise rotation of the point (x, y)?

Back

The new coordinates will be (-y, x).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

If point A(2, 3) is translated 5 units left and 1 unit up, what are the new coordinates?

Back

The new coordinates are (-3, 4).

Front

What is the effect of a reflection across the x-axis on the point (4, -2)?

Back

The new coordinates will be (4, 2).

Front

What is the effect of a reflection across the y-axis on the point (-3, 5)?

Back

The new coordinates will be (3, 5).

Front

What is the transformation called when a figure is flipped over a line?

Back

This transformation is called reflection.