Question

Which transformations are rigid transformations?

Answer 1

A rigid transformation is a transformation that preserves the shape and size of an object. Translations, rotations, and reflections are examples of rigid transformations.

Step-by-step explanation:

A rigid transformation is a transformation that preserves the shape and size of an object. The main types of rigid transformations are translations, rotations, and reflections. Translations move an object without changing its shape or size, rotations turn an object around a fixed point or axis, and reflections mirror an object over a line or plane.

For example, if you slide a book from one place to another, you are performing a translation. If you spin a toy top on a table, you are performing a rotation. And if you hold up a mirror and look at your reflection, you are observing a reflection. These transformations are called rigid because they do not change the distances between points on the object, preserving its rigidity.

Answer 2

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". they may not be facing in the same direction.