8.10(c) Transformations' Algebraic Rules

Front

What is a reflection in transformations?

Back

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

Front

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

Back

This transformation represents a reflection over the y-axis.

Front

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

Back

This transformation represents a reflection over the x-axis.

Front

What is a rotation in transformations?

Back

A rotation is a transformation that turns a shape around a fixed point, usually the origin.

Front

What does the transformation (x, y) → (x - 4, y + 7) represent?

Back

This transformation represents a translation, moving the shape 4 units left and 7 units up.

Front

What is a translation in transformations?

Back

A translation is a transformation that moves a shape from one location to another without changing its size or orientation.

Front

What does the transformation (x, y) → (x + 2, y + 7) represent?

Back

This transformation represents a translation, moving the shape 2 units right and 7 units up.

Front

What is the effect of a dilation in transformations?

Back

A dilation is a transformation that changes the size of a shape, either enlarging or reducing it, while maintaining its shape.

Front

What does the transformation (x, y) → (x + 7, y - 2) represent?

Back

This transformation represents a translation, moving the shape 7 units right and 2 units down.

Front

What is the general rule for reflecting a point over the x-axis?

Back

The general rule is (x, y) → (x, -y).