Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure's dimensions remain unchanged.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

How do you perform a translation on a point?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

When reflected over the x-axis, the coordinates change to (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

When reflected over the y-axis, the coordinates change to (-x, y).

Front

What is the result of rotating a point 90° counterclockwise about the origin?

Back

The coordinates of the point (x, y) become (-y, x) after a 90° counterclockwise rotation.

Front

What is the result of rotating a point 180° about the origin?

Back

The coordinates of the point (x, y) become (-x, -y) after a 180° rotation.

Front

If point A(3, 4) is translated 2 units left and 3 units down, what are the new coordinates?

Back

The new coordinates of point A are (1, 1).

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied.