Rigid Transformations Mid-Module Retake

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

What happens to the side lengths of a figure during a rigid transformation?

Back

The side lengths remain the same during a rigid transformation.

Front

What is the effect of a 90-degree clockwise rotation on the coordinates of a point (x, y)?

Back

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

Front

If a point A is located at (x, y), what are the coordinates of A after a 180-degree rotation about the origin?

Back

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

Front

What is the result of reflecting a figure over the x-axis?

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.

Front

How does translation affect the coordinates of a figure?

Back

Translation moves every point of a figure the same distance in a specified direction.

Front

What is the relationship between angles in a figure and its image after a rigid transformation?

Back

The measures of corresponding angles in a figure and its image remain equal after a rigid transformation.

Front

If a polygon is translated 4 units left and 3 units down, how do you find the new coordinates of a point (x, y)?

Back

Subtract 4 from x and 3 from y to get the new coordinates (x-4, y-3).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What is the effect of a reflection over the y-axis on the coordinates of a point (x, y)?

Back

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