Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

How do you describe a translation in terms of direction?

Back

A translation can be described using directions such as up, down, left, or right, along with the distance moved in each direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped during a reflection.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

What is the center of rotation?

Back

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

Front

How do you find the coordinates of a point after a reflection over the y-axis?

Back

To find the new coordinates after reflecting a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What happens to the coordinates of a point when it is translated 3 units up and 2 units left?

Back

The new coordinates will be (x - 2, y + 3) after the translation.