transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translating, rotating, or reflecting it.

Front

What are the three main types of transformations?

Back

Translations, rotations, and reflections.

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure about a fixed point at a certain angle and direction.

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

How do you perform a 90-degree clockwise rotation?

Back

To perform a 90-degree clockwise rotation, turn the figure 90 degrees to the right around a fixed point.

Front

What happens during a 180-degree rotation?

Back

During a 180-degree rotation, the figure is turned halfway around, resulting in an upside-down version of the original.

Front

What is the result of a 270-degree clockwise rotation?

Back

A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.

Front

What is the fixed point in a rotation?

Back

The fixed point in a rotation is the point around which the figure is turned.

Front

What is the difference between translation and reflection?

Back

Translation slides a shape without changing its orientation, while reflection flips a shape over a line.