8.10C Transformations Using Algebraic Representations

Front

What is a reflection in algebraic transformations?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image. The algebraic representation for a reflection over the x-axis is (x, y) → (x, -y).

Front

What is the algebraic representation for a reflection over the y-axis?

Back

The algebraic representation for a reflection over the y-axis is (x, y) → (-x, y).

Front

What is a rotation in algebraic transformations?

Back

A rotation is a transformation that turns a figure around a fixed point. The algebraic rule for a 180-degree rotation is (x, y) → (-x, -y).

Front

What is a dilation in algebraic transformations?

Back

A dilation is a transformation that changes the size of a figure but not its shape. The algebraic representation for a dilation that reduces size by a factor of 0.25 is (x, y) → (0.25x, 0.25y).

Front

What is the algebraic representation for a translation?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation. The algebraic representation for a translation of 5 units left and 5 units down is (x, y) → (x-5, y-5).

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a point. Both are types of transformations but affect the figure differently.

Front

What is the algebraic representation for a 90-degree rotation counterclockwise?

Back

The algebraic representation for a 90-degree rotation counterclockwise is (x, y) → (-y, x).

Front

What is the algebraic representation for a 270-degree rotation counterclockwise?

Back

The algebraic representation for a 270-degree rotation counterclockwise is (x, y) → (y, -x).

Front

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

Back

This transformation represents a reflection over the x-axis.

Front

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

Back

This transformation represents a reflection over the y-axis.