Translations, Reflections & Rotations

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.

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 specified angle.

Front

What is the result of a transformation called?

Back

Image.

Front

What are the coordinates of a point after a 90º counterclockwise rotation about the origin?

Back

If a point (x, y) is rotated 90º counterclockwise, its new coordinates will be (-y, x).

Front

What are the coordinates of a point after a 90º clockwise rotation about the origin?

Back

If a point (x, y) is rotated 90º clockwise, its new coordinates will be (y, -x).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates will be (-x, y).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Front

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

Back

The new coordinates will be (x + 2, y - 1).

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.