Which of these properties of a rigid transformation is exclusive to translations?
the measures of the angles and sides in the preimage are preserved.

the points in the preimage lie in the same plane as the points in the image.

all the points in the preimage are shifted the same distance.

the orientation of sequences of points in the preimage are always preserved.

Answer with explanation:

There are four kind of Rigid transformation that can take place in a two dimensional or Three dimensional geometrical Shape

1. Rotation

2. Reflection

3.Dilation

4. Translation

When we translate a geometrical shape , the Preimage , shifts from one position to another position in  the plane in which it lies ,without changing the shape ,size ,and Interior angle of the PreImage.  

→→I have described first three properties ,which are true to translation by taking a triangle ,having vertices , (0,0), (0,1) and (1,0).

Now, translating the triangle , by 1 unit right and 1 unit up,got the triangle having vertices, (1,1),(1,2) and (2,1).

Option 4 : The orientation of sequences of points in the pre image are always preserved, is the property of a rigid transformation that appears exclusive to translations.

yes

yes yes yes

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