Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translations, rotations, and reflections.

Front

What happens to the coordinates of a point (x, y) when it is translated 9 units right and 3 units down?

Back

The new coordinates will be (x + 9, y - 3).

Front

How do you reflect a point (x, y) over the x-axis?

Back

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

Front

What are the new coordinates of point A(3, 4) after a reflection over the y-axis?

Back

The new coordinates will be A'(-3, 4).

Front

If point B(-2, 5) is rotated 180° about the origin, what are the new coordinates?

Back

The new coordinates will be B'(2, -5).

Front

What is the algebraic notation for reflecting a point over the y-axis?

Back

The algebraic notation is (x, y) --> (-x, y).

Front

If point C(1, -3) is translated 4 units left and 2 units up, what are the new coordinates?

Back

The new coordinates will be C'(-3, -1).

Front

What is the result of rotating point D(2, 3) 90° counterclockwise about the origin?

Back

The new coordinates will be D'(-3, 2).

Front

How do you find the image of a point after a reflection over the x-axis?

Back

To find the image, change the sign of the y-coordinate. For example, the image of (x, y) is (x, -y).

Front

What is the effect of a translation on a figure?

Back

A translation moves every point of a figure the same distance in the same direction.