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## Are translations the same as transformations?

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. … A transformation is a way of changing the size or position of a shape. **Every point in the shape is translated the same distance in the same direction**.

## Are all translations rigid transformations?

Yes, **translations are rigid transformations**. They too preserve angle measure and segment length.

## Are all translations Isometries?

There are many ways to move two-dimensional figures around a plane, but there are only four types of isometries possible: **translation, reflection, rotation, and glide reflection**. These transformations are also known as rigid motion.

## How do you determine translations?

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, **use P'(x+a,y+b)** .

## How do you identify transformations?

**The function translation / transformation rules:**

- f (x) + b shifts the function b units upward.
- f (x) – b shifts the function b units downward.
- f (x + b) shifts the function b units to the left.
- f (x – b) shifts the function b units to the right.
- –f (x) reflects the function in the x-axis (that is, upside-down).

## What is transformation form?

The transformational form of an equation is **a form that has**. **the x2 by itself**. **y = -x2**. **y = -x2 – 1**. **y = x2 + 8**.

## Which transformations are Nonrigid transformations?

**Translation and Reflection transformations** are nonrigid transformations.

## Is translation a rigid body transformation?

The rigid transformations include **rotations, translations, reflections**, or their combination. … Any object will keep the same shape and size after a proper rigid transformation.