two Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

Name the three types of rigid transformations.

Back

The three types of rigid transformations are 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

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How does a rotation transform a figure?

Back

A rotation turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

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

Back

The point (x, y) will move to (y, -x) after a 90° clockwise rotation.

Front

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

Back

The point (x, y) will move to (-x, y) after a reflection across the y-axis.

Front

What does it mean for transformations to be congruent?

Back

Transformations are congruent if the original figure and the transformed figure have the same size and shape.

Front

If a triangle is translated 4 units left, what are the new coordinates of the point (3, 2)?

Back

The new coordinates will be (-1, 2) after translating 4 units left.

Front

What is the result of reflecting a point (a, b) across the x-axis?

Back

The result will be (a, -b) after reflecting across the x-axis.