Translation, Reflection, Rotation

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you describe a translation of a shape?

Back

A translation can be described using a vector that indicates the direction and distance of the movement.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of its points.

Front

What is a rotation in geometry?

Back

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

Front

What is the center of rotation?

Back

The center of rotation is the point around which a shape is rotated.

Front

What happens to the size of a shape during a rotation?

Back

The size of the shape remains the same during a rotation; only its position changes.

Front

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

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.

Front

What does it mean for side measures to remain the same during transformations?

Back

It means that the lengths of the sides of the shape do not change, regardless of the transformation applied.