Watson-Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction, preserving orientation and congruency.

Front

What does it mean for a transformation to preserve orientation?

Back

Preserving orientation means that the figure maintains its original direction after the transformation.

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 happens to the coordinates of a point during a reflection over the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What happens to the coordinates of a point during a reflection over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

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

Back

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

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 difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line, changing its orientation.

Front

What is a 180-degree rotation?

Back

A 180-degree rotation turns a figure around a point, resulting in a figure that is upside down.

Front

What is the effect of a reflection over the x-axis on the point (3, 4)?

Back

The reflected point is (3, -4).