Transformations

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set. If a shape is transformed, its appearance is changed. This can be done in a number of ways, including translation, rotation, reflection and enlargement.

The transformation can be categorized by the dimensions of the operand sets, distinguishing between planar transformations and spaces. They can also be classified on their properties.

Transformations

After all the transformations, these shapes still has the same size, angles, lengths and area.

Types of Transformations

There are four major types of transformations namely:

  • Rotation
  • Translation
  • Dilation
  • Reflection

Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

Transformations

Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant.

translation

Dilation: This type of translation expands or contracts the object by keeping its orientation or shape same. This is also known as resizing.

Resizing

Reflection: This type of translation is called as it flips the object across a line by keeping its shape or size constant.

reflection


Practise This Question

A star in the sky also gives us an idea of a point. Is it true?