Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What happens to a point (x, y) when it is translated 3 units to the left and 9 units down?

Back

The new point will be (x-3, y-9).

Front

If you rotate a point 90° clockwise, what is the new position of the point (a, b)?

Back

The new position will be (b, -a).

Front

What is the result of rotating the point (3, -5) 270° clockwise?

Back

The new point is (5, 3).

Front

What does it mean to reflect a shape over a line?

Back

To reflect a shape over a line means to create a mirror image of the shape across that line.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.

Front

When translating a point (x, y) by (0, 6), how does the point move?

Back

The point moves 6 units up.

Front

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

Back

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

Front

If a figure is rotated 270° counterclockwise, what is the equivalent clockwise rotation?

Back

The equivalent clockwise rotation is 90°.

Front

What is the transformation that moves a shape without changing its orientation?

Back

Translation.