Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

A transformation that moves every point of a figure the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in rigid transformations.

Back

A transformation that turns a figure around a fixed point at a certain angle and direction.

Front

What are the coordinates of point P' if point P is at (4,5) and is rotated 90° counterclockwise?

Back

(-5, 4)

Front

How do you translate a figure 5 units down and 4 units to the right?

Back

Subtract 5 from the y-coordinate and add 4 to the x-coordinate of each point.

Front

What is the result of reflecting a point (3, 2) over the y-axis?

Back

(-3, 2)

Front

If a figure is translated 8 units down and 5 units to the right, what happens to its coordinates?

Back

Subtract 8 from the y-coordinate and add 5 to the x-coordinate.

Front

What is the line of symmetry in a reflection?

Back

The line over which a figure is reflected, creating a mirror image.

Front

Describe the effect of a 180° rotation on a point (x, y).

Back

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