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 6 units up?

Back

The new coordinates will be (x, y+6).

Front

What is the line of reflection in geometry?

Back

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

Front

If a shape is rotated 90° clockwise about the origin, how do the coordinates change?

Back

The coordinates (x, y) change to (y, -x).

Front

What are the coordinates of point A' if point A(3, 2) is reflected across the x-axis?

Back

The coordinates of A' will be (3, -2).

Front

How do you determine the new coordinates after a translation of 3 units left and 9 units down from point (1, 1)?

Back

The new coordinates will be (-2, -8).

Front

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

Back

The coordinates change to (-x, -y).

Front

What is the transformation called when a shape is flipped over a line?

Back

This transformation is called reflection.

Front

If point B(4, -3) is translated 5 units right and 2 units up, what are the new coordinates?

Back

The new coordinates will be (9, -1).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

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