The identity transformation.
It is called an image.
I think "isometries" and "rigid transformation" are two different names for the same thing. Look for "isometry" on wikipedia.
A rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape.
Given two sets of angles and the included side congruent, we seek a sequence of rigid motions that will map Δ_____onto Δ___ proving the triangles congruent.
yes a pentagon is a rigid shape * * * * * I am afraid that it is not.
It is called an image.
I think "isometries" and "rigid transformation" are two different names for the same thing. Look for "isometry" on wikipedia.
Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
A rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape.
They can alter the location or orientation of the figures but do not affect their shape or size.
The object and its image are congruent.
im not quite sure but i know it has to do with the process of scientific inquiry.
Reflections, translations, and rotations are considered rigid motions because they preserve the size and shape of the original figure. These transformations do not distort the object in any way, maintaining the distances between points and angles within the figure. As a result, the object's properties such as perimeter, area, and angles remain unchanged after undergoing these transformations.
Given two sets of angles and the included side congruent, we seek a sequence of rigid motions that will map Δ_____onto Δ___ proving the triangles congruent.
Scientific inquiry is a process with many paths
The answer depends on the quadrilateral. Some have rotational symmetry or reflective symmetry and it is not possible to distinguish between these and translations.
Science has always been a flexible multipath process. Scientific discoveries quite frequently happen when least expected and not being looked for. Serendipity is essential to progress in the field of science and getting stuck on a fixed sequence usually blinds the observer from making such discoveries. Many new discoveries were overlooked by scientists that were overly rigid and the results discarded, only to be rediscovered later by other scientists not so blindered by their formal procedures and rigid expectations. Whatever gave you the idea that science is rigid and inflexible?