Rigid Motion Transformations

Front

What is Rigid Motion?

Back

Rigid motion is 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 of rigid motion transformations are translations, rotations, and reflections.

Front

Define Translation in Rigid Motion.

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the rule for translating a point (x, y) right 2 and down 5?

Back

The new coordinates will be (x + 2, y - 5).

Front

What is a Rotation in Rigid Motion?

Back

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

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is a Reflection in Rigid Motion?

Back

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

Front

What is the rule for a reflection across the y-axis?

Back

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

Front

What happens to the coordinates of a point (x, y) when reflected across the line y = x?

Back

The new coordinates will be (y, x).

Front

If point C is at (3, 1), what are the new coordinates after reflecting across the line y = x?

Back

The new coordinates will be (1, 3).