Rigid Motion Transformations Practice

Front

What is a rigid motion transformation?

Back

A rigid motion transformation is a transformation that preserves the shape and size of a figure, meaning the distance between points remains unchanged.

Front

What are the three main types of rigid motion transformations?

Back

The three main types of rigid motion transformations are rotation, reflection, and translation.

Front

Define rotation in the context of rigid motion transformations.

Back

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

Front

What is reflection in rigid motion transformations?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

Explain translation in rigid motion transformations.

Back

Translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

How do you perform a 180-degree rotation of a point around the origin?

Back

To perform a 180-degree rotation of a point (x, y) around the origin, the new coordinates will be (-x, -y).

Front

What are the new coordinates of the point (4, 6) after a 180-degree rotation around the origin?

Back

The new coordinates will be (-4, -6).

Front

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

Back

To find the coordinates of a point (x, y) after reflection over the y-axis, the new coordinates will be (-x, y).

Front

What are the new coordinates of point B(8, 3) after reflection over the y-axis?

Back

The new coordinates will be B'(-8, 3).

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation shifts the coordinates of a point by adding or subtracting values to/from the x and y coordinates.