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Which sequence of transformations would result in an image that is similar and non-congruent to the pre-image? Assume that any scale factor for the dilations is not equal to 1. Check all that apply.
-a dilation followed by a translation
-a dilation followed by a reflection
-a reflection followed by a dilation
-a rotation followed by a reflection
-a rotation followed by a dilation
-a translation followed by a reflection

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JeanaShupp

Answer: -a dilation followed by a translation

-a dilation followed by a reflection

-a reflection followed by a dilation

-a rotation followed by a dilation

Step-by-step explanation:

  • A rigid transformation is a kind of transformation which does not affect the size of the shape.They produces congruent images.There are four kinds of rigid motions: 1) translation 2) reflection 3) rotation 4) glide reflection.
  • On the other hand a dilation is a transformation that creates an image that is the exactly same shape as the original, but have a different size.

Thus dilation does not create congruent images.

Therefore any sequence of transformations  which has dilation will not  result in an image that is similar and non-congruent to the pre-image.

 

The sequence of transformations that would result in an image that is similar and non-congruent to the pre-image are as follows;

A dilation followed by a translation.

A dilation followed by a reflection.

A reflection followed by a dilation.

A rotation followed by a dilation.

We have to determine

Which sequence of transformations would result in an image that is similar and non-congruent to the pre-image?

What is transformation?

One can perform different operations on any image in a plane to transform it.

In the process of transformation, an object can change its size, position, or orientation.

It involves taking a pre-image of an object and producing its image with a transformation of some sort.

Rigid or isometric Transformation;

The transformation in which the size of the pre-image is unchanged is called a rigid transformation.

The sequence of transformations that would result in an image that is similar and non-congruent to the pre-image are as follows;

  • A dilation followed by a translation.

  • A dilation followed by a reflection.

  • A reflection followed by a dilation.

  • A rotation followed by a dilation.

To know more about Transformation click the link given below.

https://brainly.com/question/11709244

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