Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that moves every point of a figure the same distance in a specified direction.

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

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

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

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

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).

Front

If a point (a, b) is translated 5 units left and 2 units up, what is the new position?

Back

The new position of the point (a, b) after the translation is (a - 5, b + 2).

Front

What does the notation (x, y) → (x, y - 9) represent?

Back

This notation represents a translation of each point down by 9 units.

Front

Are rigid transformations congruent?

Back

Yes, rigid transformations are congruent, meaning the original figure and the transformed figure have the same size and shape.

Front

What is the result of reflecting the point (3, 4) across the x-axis?

Back

The result is the point (3, -4).

Front

What happens to a figure when it is rotated 180° around the origin?

Back

A 180° rotation around the origin transforms the point (x, y) to (-x, -y).