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 rotated 90 degrees clockwise about the origin?

Back

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

Front

What is translation in geometry?

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is the effect of translating a point (x, y) by (0, 6)?

Back

The point will move 6 units up, resulting in the new coordinates (x, y+6).

Front

What is the effect of translating a point (x, y) by (-4, 0)?

Back

The point will move 4 units left, resulting in the new coordinates (x-4, y).

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for the transformation of a point (x, y) to (-x, y)?

Back

The line of reflection is the y-axis.

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

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

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Front

What is the transformation called when a figure is turned around a fixed point?

Back

This transformation is called rotation.