Respuesta :

The answer is the third answer choice, I and II only.


This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.


Hope this helps!

      Option (3) will be the correct option.

 Transformations defined by the translation, rotation and reflection are the rigid transformations in which size and shape of the preimage are preserved.

  From the given options,

Option (I)

If the parallelograms EFGH is reflected across the y-axis, we get the image exactly same as the preimage.

(Since, all sides and angles are congruent)

Therefore, it's a rigid transformation.

Option (II)

If a hexagon CDEFGH is reflected across the y-axis, we get the image YXWVUT which is exactly same as the preimage.

    Therefore, it's a rigid transformation.

Option (III)

In this option ΔEFG is dilated by a scale factor to get ΔVWU which is bigger than ΔEFG.

Therefore, it's not a rigid transformation.

     Hence, options (I) and (II) are the correct options.

Learn more,

https://brainly.com/question/18917093

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