Rigid Motion Transformations

Front

What is a rigid motion transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a translation in rigid motion?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is a rotation in rigid motion?

Back

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

Front

What is a reflection in rigid motion?

Back

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

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

The figure is turned 90 degrees in the clockwise direction around a fixed point.

Front

What does it mean for a figure to have rotational symmetry?

Back

A figure has rotational symmetry if it can be rotated around a center point and still look the same at certain angles.

Front

What are the angles of rotation that map a figure onto itself?

Back

These are specific angles where the figure appears unchanged after rotation, such as 0°, 90°, 180°, etc.

Front

What is the significance of the origin in transformations?

Back

The origin (0,0) is often used as a reference point for rotations and reflections in the coordinate plane.

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

What is the result of a translation of (3, 4) on the point (1, 2)?

Back

The new point after translation will be (1+3, 2+4) = (4, 6).