Rigid Transformations #2

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 does it mean to translate a figure?

Back

To slide a figure from one position to another without rotating or flipping it.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is a reflection in geometry?

Back

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

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 point.

Front

How can you identify a reflection?

Back

A reflection can be identified by a line of symmetry where each point on the original figure is equidistant from the line to the corresponding point on the reflected figure.

Front

What does it mean for a transformation to be rigid?

Back

A rigid transformation does not change the size or shape of the figure.

Front

What is the effect of rotating a triangle 180 degrees?

Back

The triangle will be turned upside down, maintaining its size and shape.

Front

What is the result of reflecting a triangle over its base?

Back

The triangle will create a mirror image on the opposite side of the base.

Front

How do you determine if a transformation is rigid?

Back

Check if the original figure and the transformed figure are congruent.