Rotations Reflections and Translations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

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

Front

What is a translation?

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

How do you determine the direction of a rotation?

Back

The direction of a rotation can be clockwise or counterclockwise, typically indicated by the angle measurement.

Front

What is the angle of rotation for a half turn?

Back

The angle of rotation for a half turn is 180 degrees.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected, creating a mirror image.

Front

How can you identify a translation on a graph?

Back

A translation can be identified on a graph by observing that the shape has moved to a new location without changing its size, shape, or orientation.

Front

What happens to the coordinates of a shape during a translation?

Back

During a translation, the coordinates of a shape change according to the translation vector, which specifies how far and in which direction to move each point.