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. Common types include translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

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 rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

What is the rule for rotating a point (x, y) 180 degrees about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What is the rule for translating a point (x, y) 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is the measure of the turn from the original position to the new position of the figure.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 270-degree counterclockwise rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).