Determine which of the following statements about rigid transformations is false.

Question 5 options:

In a translation, the segments joining points of the pre-image and their images are perpendicular.

In a reflection, the segments joining points of the pre-image and their images are perpendicular to the line of reflection.

In a rotation, the points of the pre-image are always the same distance away from the center of rotation as the corresponding points of the image.

In a reflection, the points of the pre-image are always the same distance away from the line of reflection as the corresponding points of the image.

The direction of a rigid transformation involving a translation can vary from changes in the values of one of the two coordinates of the vertex points in the figure with the same change value for all the vertices or

The translation can also be made by changing the values of both coordinates of the vertex each coordinate having equal value of change which may be different from the value of change of the other coordinate, maintaining the size of the figure.

In the second case, the translation can be in other directions other than vertical or horizontal, such that, the segments joining the points of the pre-image with the corresponding point on the image are parallel.

andromache andromache · Answer 2 · 2022-03-03T12:44:13+01:00

The false statement about rigid transformation is;

In a translation, the segments joining points of the pre-image and their images are perpendicular

The direction of rigid transformation:

It includes a translation that could be varied from changes in the values of one of the two coordinates of the vertex points having the same change value for all the vertices. The translation could also be made via changing the values of both coordinates of the vertex every coordinate that contains the equal value of change.

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