Geometric Transformations

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 changing its shape, size, or orientation.

Front

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

Back

The rule is (x, y) -> (-x, y).

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The rule is (x, y) -> (-y, x).

Front

What is the rule for translating a point (x, y) by (2, -1)?

Back

The rule is (x, y) -> (x + 2, y - 1).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation changes the position of a point by adding or subtracting values from its coordinates.

Front

What is the line of reflection?

Back

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

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around a point.