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

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Front

What does the notation (x + a, y + b) represent in transformations?

Back

It represents a translation of a shape 'a' units horizontally and 'b' units vertically.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

It transforms them to (y, -x).

Front

What does a 90° counterclockwise rotation do to the coordinates (x, y)?

Back

It transforms them to (-y, x).

Front

What is the effect of a reflection across the x-axis on the coordinates (x, y)?

Back

It transforms them to (x, -y).

Front

What is the effect of a reflection across the y-axis on the coordinates (x, y)?

Back

It transforms them to (-x, y).