#### how are scientific theories developed

Make an observation. Ask a question. Form a hypothesis,...

Compare the length of a segment of the preimage to the length of the corresponding segment of the image. the image, then the transformation is not a rigid motion. Therefore, use the **protractor to check corresponding angles**. If all angle measures are preserved, then check lengths.

When a figure is transformed with one or more rigid transformations, an image is created that is congruent to the original figure. Two figures are congruent if **a sequence of rigid transformations will carry the first figure to the second figure**.

So the above mentioned forms – reflection, rotation and translation are part of rigid motion. **Dilation** is non rigid motion.

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. The other three choices merely “move” a shape to a new location (i.e. rotated, translated, or reflected) and result in a congruent figure.

Non-congruent **rectangles**. These two polygons have matching sides equal but their matching angles are not equal and so they are not congruent. They are different shapes even though the sides are the same size. Non-congruent hexagons.

A dilation is not considered a rigid motion because **it does not preserve the distance between points**.

Dilations and rigid motions preserve angle measures. … Dilations **do not preserve distance (side lengths)** while rigid motions do.

A dilation is a type of **transformation that enlarges or reduces a figure** (called the preimage) to create a new figure (called the image). The scale factor, r, determines how much bigger or smaller the dilation image will be compared to the preimage.

A rigid motion is a transformation (of the plane) that “preserves distance”. In other words, if **A is sent/mapped/transformed to A′ and B is sent to B′, then the distance between A and B (the length of segment AB) is the same as the distance between A′ and B′** (the length of segment A′B′).

A non-rigid transformation can change the size or shape, or both size and shape, of the preimage. Two transformations, **dilation and shear**, are non-rigid. The image resulting from the transformation will change its size, its shape, or both.
## Which of the following is not rigid body transformation?

## Which transformation does not preserve orientation?

**Reflection** does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.
## Is EFG A HJK?

## What criteria does not guarantee congruence between triangles?

## Which transformation does not produce an image that is congruent to ABC?

Discussion Forum

Que. | Which of the following is not a rigid body transformation? |
---|---|

b. | Rotation |

c. | Shearing |

d. | Reflection |

Answer:Shearing |

Step-by-step explanation:

**EFG is congruent to HJK**, then HJK is congruent to EFG.

**The SSA (or ASS) combination** deals with two sides and the non-included angle. This combination is humorously referred to as the “Donkey Theorem”. SSA (or ASS) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.

Explanation and answer: The only transformation listed that changes the size of ABC is **dilation**, choice (4). Under dilation with a scale of 2, ABC will be double the size of the original and therefore not be congruent.
## What’s the difference between congruent and non congruent?

## What is a non congruent line?

## What is a non congruent rectangle?

## Is a dilation A transformation?

Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. … **Similar figures** are not congruent.

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. … **Rays and lines cannot be congruent** because they do not have both end points defined, and so have no definite length.

A non-congruent rectangle is **a rectangle that is not identical to another rectangle**. Its size, shape, or dimensions are different from the other rectangle. To compare two figures and detect changes in their shape/size, you will need to know the basic concepts of measurement.

Dilations. A dilation is a **transformation which preserves the shape and orientation of the figure, but changes its size**. The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.
## Is scaling a rigid motion?

Non-rigid transformations change the size or shape of objects. Resizing (stretching horizontally, vertically, or both ways) is a non-rigid transformation.
## What is a direct rigid motion?

## Is dilation a rigid translation?

Direct, proper or rigid motions are **motions like translations and rotations that preserve the orientation of a chiral shape**. Indirect, or improper motions are motions like reflections, glide reflections and Improper rotations that invert the orientation of a chiral shape.

The only transformation that is **not a rigid motion** is dilation. A dilation is a transformation that changes the size of a figure.
## Is reflection a rigid transformation?

## Is rotation a rigid motion?

In mathematics, a rigid transformation (also called Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include **rotations**, translations, reflections, or their combination.

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