Rigid Motion Transformations

Front

What is a rigid motion transformation?

Back

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

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 reflect a figure over the y-axis?

Back

To create a mirror image of the figure across the y-axis, where each point (x, y) becomes (-x, y).

Front

What is a translation in geometry?

Back

A transformation that slides a figure from one position to another without changing its shape or orientation.

Front

How do you perform a rotation of a figure?

Back

To rotate a figure, turn it around a fixed point (the center of rotation) by a specified angle in a specified direction.

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What is the effect of translating a figure 5 units down and 4 units to the right?

Back

Each point of the figure moves down 5 units and right 4 units, changing its position but not its shape.

Front

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

Back

Each point (x, y) of the figure becomes (x, -y), creating a mirror image across the x-axis.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but keeps its shape, using a scale factor.