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## What transformations result in a congruent figure?

**There are three main types of congruence transformations:**

- Translation (a slide)
- Rotation (a turn)
- Reflection (a flip)

## What do we call the result of a transformation of a geometric shape?

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**.

## Which describes a transformation in which the original figure and its transformed figure are congruent?

**A rigid transformation** is a transformation where the original figure, or preimage, and the transformed figure, or image, are still congruent. The three types of congruence transformations are reflection (or flip), translation (or slide), and rotation (or turn).

## Which series of transformations would create a congruent shape?

**Rotations, reflections**, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

## Which of the following transformation does not result in a congruent figure?

Congruent figures are the same shape and the same size. The only choice that involves changing the size of a figure is letter a) **dilation** and as a result, creates two figures that are NOT congruent.

## How do you describe a transformation in geometry?

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.

## What is the meaning of geometric transformation?

In mathematics, a geometric transformation is **any bijection of a set to itself (or to another such set) with some salient geometrical underpinning**. More specifically, it is a function whose domain and range are sets of points — most often both or both. — such that the function is injective so that its inverse exists.

## What type of transformation was performed on the original figure?

Transformations Summary

The original figure is called the preimage. There are three rigid transformations: **translations, rotations and reflections**. A translation is a transformation that moves every point in a figure the same distance in the same direction.

## Which of the following describes how geometric figures move without changing shape?

The word **isometry** is used to describe the process of moving a geometric object from one place to another without changing its size or shape.