Question

Explain the world of transformation geometry?

Answer 1

Hint: Transformational geometry means transformation of a geometrical figure. It’s a bijection of a system that contains itself or any other set of geometric shape. When a shape is transformed a bit also, its appearance is changed.

Complete step-by-step answer:
In the world of transformation geometry if a transformation occurs, that transformation may be rigid where preimage size is not altered and it is non-rigid where the size is modified but the form remains the same.
There are basically four types of transformations in geometry:
Rotation
Reflection
Dilation
Translation

Discussing the transformations one by one:
Rotation: - In this transformation the base or a point is fixed, only the angle between the base of the object is changed like from ${0^ \circ }$ to \[{90^ \circ }\] or any other. In this transformation, size or shape is not altered.
Reflection: -In this transformation, the shape and size of the object is constant, only it flips across a line.
Dilation: - This transformation is also known as resizing, in which the object is extended or contracts by preserving its orientation or shape the same.
Translation: - In this transformation, the object is moved or shifted in the same direction and for the same distance.

Note: The image before transformation is called preimage and after transformation it’s called the image.
Translation, rotations and reflections are called isometric Transformations. Because the new image and the preimage are congruent in nature as the shape and size remains the same for both the preimage and image.