Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

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 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

What is a reflection?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, either enlarging or reducing it.

Front

How do you determine if two figures are congruent?

Back

Two figures are congruent if one can be transformed into the other using rotations, translations, and reflections.

Front

What does the transformation (x, y) -> (-y, x) represent?

Back

This transformation represents a rotation of 90 degrees counterclockwise.

Front

What does the transformation (x, y) -> (x, -y) represent?

Back

This transformation represents a reflection across the x-axis.

Front

What does the transformation (x, y) -> (x, y-10) represent?

Back

This transformation represents a translation 10 units down.