Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without turning it.

Front

How do you perform a 90° clockwise rotation on a point (x, y)?

Back

To perform a 90° clockwise rotation on a point (x, y), the new coordinates will be (y, -x).

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To perform a 90° counterclockwise rotation on a point (x, y), the new coordinates will be (-y, x).

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

Back

When a point (x, y) is reflected across the y-axis, the new coordinates become (-x, y).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

A 180° rotation on a point (x, y) results in the new coordinates (-x, -y).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Front

What is the result of translating a point (3, 4) 5 units left and 2 units up?

Back

The new coordinates will be (-2, 6).