Composition of Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What is the pre-image in a transformation?

Back

The original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The resulting figure after a transformation has been applied to the pre-image.

Front

What does it mean to compose transformations?

Back

To apply one transformation after another to a figure.

Front

What is the effect of reflecting a figure over the x-axis?

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.

Front

What is the effect of rotating a figure 90 degrees clockwise?

Back

The coordinates of each point (x, y) change to (y, -x).

Front

What is the effect of translating a figure 6 units left and 1 unit up?

Back

Each point (x, y) of the figure moves to (x-6, y+1).