Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a translation in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that creates a mirror image of a figure across a line, known as the line of reflection.

Front

What is a dilation in geometry?

Back

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

Front

What does it mean for a transformation to be an enlargement?

Back

An enlargement is a type of dilation where the image is larger than the pre-image.

Front

What does it mean for a transformation to be a reduction?

Back

A reduction is a type of dilation where the image is smaller than the pre-image.

Front

What is the algebraic representation of a dilation that enlarges a figure by a factor of 3?

Back

The algebraic representation is (x, y) → (3x, 3y).

Front

What is the line of reflection?

Back

The line of reflection is the line across which a figure is reflected to create a mirror image.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.