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 a point (x, y) when it is translated 6 units up?

Back

The new position of the point will be (x, y+6).

Front

What happens to a point (x, y) when it is translated 4 units left?

Back

The new position of the point will be (x-4, y).

Front

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

Back

The new position of the point will be (y, -x).

Front

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

Back

The new position of the point will be (x, -y).

Front

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

Back

The new position of the point will be (-x, y).

Front

How many degrees is a 180° rotation?

Back

A 180° rotation turns a figure upside down.

Front

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

Back

The figure is flipped over the y-axis, changing the sign of the x-coordinates.

Front

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

Back

The figure is flipped over the x-axis, changing the sign of the y-coordinates.

Front

If a point (3, 4) is reflected across the x-axis, what is its new position?

Back

The new position will be (3, -4).