Translations and Reflection Review (Transformational Geometry)

Front

What is a transformation in geometry?

Back

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

Front

What is a reflection?

Back

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

Front

What is the algebraic representation of a reflection across the x-axis?

Back

(x, y) -> (x, -y)

Front

What is the algebraic representation of a reflection across the y-axis?

Back

(x, y) -> (-x, y)

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 the algebraic representation of a translation 2 units up and 3 units right?

Back

(x, y) -> (x + 3, y + 2)

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around a circle.

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.

Front

What is the rule for reflecting a point (3, 4) across the x-axis?

Back

The reflected point is (3, -4).