Rigid Transformations Practice

Front

What is a rigid transformation?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise?

Back

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

Front

What is the result of reflecting a point across the x-axis?

Back

The y-coordinate changes sign, resulting in (x, -y).

Front

What is the result of reflecting a point across the y-axis?

Back

The x-coordinate changes sign, resulting in (-x, y).

Front

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

Back

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

Front

What does it mean to reflect a shape over the line y = x?

Back

The x and y coordinates of each point are swapped, resulting in (y, x).

Front

What is the difference between rotation and reflection?

Back

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

Front

What is the definition of congruence in geometry?

Back

Two shapes are congruent if they have the same size and shape, which can be achieved through rigid transformations.

Front

How do you determine the image of a shape after a rotation?

Back

By applying the rotation rules for each vertex of the shape based on the angle and direction of rotation.

Front

What is the significance of parallel lines in rigid transformations?

Back

Rigid transformations preserve parallelism; if two lines are parallel before the transformation, they remain parallel after.