Rigid Motion Transformations SWYK - Chapter 0/6

Front

What is a rigid motion transformation?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What are the types of rigid motion transformations?

Back

The main types are translations, rotations, and reflections.

Front

Define translation in the context of rigid motion transformations.

Back

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

Front

What happens to the coordinates of a point (x, y) when it is translated 3 units to the right and 2 units up?

Back

The new coordinates will be (x + 3, y + 2).

Front

What is a rotation in rigid motion transformations?

Back

A rotation turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

If a point (x, y) is rotated 90 degrees counterclockwise around the origin, what are the new coordinates?

Back

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

Front

What is reflection in rigid motion transformations?

Back

A reflection flips a figure over a line, creating a mirror image.

Front

If a point (x, y) is reflected over the x-axis, what are the new coordinates?

Back

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

Front

What does it mean to reflect a figure over the y-axis?

Back

It means to flip the figure over the y-axis, changing the sign of the x-coordinates.

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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