Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

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

Front

What are the coordinates of Point A' if Point A is at (4, 5) and it is translated 4 units to the left and 5 units down?

Back

(0, 0) - The new coordinates are calculated as (4-4, 5-5).

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point of the figure is mirrored over the x-axis, changing the sign of the y-coordinate.

Front

If Point P is at (4, 5), what are the coordinates of P' after a 90° clockwise rotation?

Back

(5, -4) - The coordinates are transformed by switching and changing the sign of the new y-coordinate.

Front

What is the line of reflection for a figure reflected across the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) becomes (-x, y).

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the vector that indicates how far and in which direction each point of the figure moves.

Front

What is the effect of a 90° counterclockwise rotation on the coordinates of a point (x, y)?

Back

The new coordinates become (-y, x).

Front

If a trapezoid is translated 8 units down and 5 units to the right, how do you express the new coordinates of a point (x, y)?

Back

The new coordinates will be (x+5, y-8).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.