Rigid Motion Transformations

Front

What is a rigid motion transformation?

Back

A rigid motion transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

List the types of rigid motion transformations.

Back

The types of rigid motion transformations include translations, rotations, and reflections.

Front

What happens to a figure during a translation?

Back

During a translation, every point of the figure moves the same distance in the same direction.

Front

How does a 90° counterclockwise rotation affect the coordinates of a point (x, y)?

Back

A 90° counterclockwise 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 across the x-axis changes the sign of the y-coordinate, resulting in the point (x, y) becoming (x, -y).

Front

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

Back

Reflecting a point across the y-axis changes the sign of the x-coordinate, resulting in the point (x, y) becoming (-x, y).

Front

If a point is translated 3 units to the left and 9 units down, what is the new position of the point (1, 4)?

Back

The new position of the point (1, 4) after translating 3 units left and 9 units down is (-2, -5).

Front

What is the rule for a translation that moves a point 2 units right and 3 units up?

Back

The rule for this translation is (x, y) → (x + 2, y + 3).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a fixed point, while a reflection flips a figure over a line, creating a mirror image.

Front

How do you determine the center of rotation for a figure?

Back

The center of rotation is the fixed point around which the figure rotates, and it can be determined by analyzing the original and rotated positions of points.