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## Why is transformation in geometry important?

Geometric transformations are **needed to give an entity the needed position, orientation, or shape starting from existing position, orientation**, or shape. The basic transformations are scaling, rotation, translation, and shear. Other important types of transformations are projections and mappings.

## Why is it important to know about transformations?

Now, the way transformations are **taught gives students the ability to manipulate figures in the plane freely**, which sets the foundation for other areas of study, such as the verification of perpendicular segments, the derivation of the equation of a circle, and perhaps most notably, congruence and similarity.

## What do you understand by geometric transformation?

A geometric object is represented by its vertices (as position vectors) A geometric transformation is an **operation that modifies its shape, size, position, orientation etc with respect to its current configuration operating on the** vertices (position vectors).

## What do you know about transformations?

A transformation is **a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system**. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

## What is the result of a transformation?

A transformation can be a **translation, reflection, or rotation**. A transformation is a change in the position, size, or shape of a geometric figure. The given figure is called the preimage (original) and the resulting figure is called the new image.

## Where are geometric transformations used?

Abstract Geometric transformations are widely used for **image registration and the removal of geometric distortion**. Common applications include construction of mosaics, geographical mapping, stereo and video. A spatial transformation of an image is a geometric transformation of the image coordinate system.

## How do you explain transformations in math?

A transformation is **a way of changing the size or position of a shape**. Every point in the image is the same distance from the mirror line as the original shape. The line joining a point on the original shape to the same point on the image is perpendicular to the mirror line.

## Why are translations in math important?

When you translate something in geometry, **you’re simply moving it around**. You don’t distort it in any way. … Similarly, if you translate an angle, the measure of the angle doesn’t change. These properties may seem obvious, but they’re important to keep in mind later on when we do proofs.

## What are some real life examples of translations?

**Real life examples of translations are:**

- the movement of an aircraft as it moves across the sky.
- the lever action of a tap (faucet)
- sewing with a sewing machine.
- punching decorative studs into belts.
- throwing a shot-put.
- making pasta such as spaghetti.