Question

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

Answer 1

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.

 

Answer 2

All the answers with the step of dilations is correct.

So, it should be 1,2,3,5