Rigid Transformations - A transformation that does not alter the size or shape of a figure.
Use the definitions of rigid transformations in order to [b]fill in the blank [/b]of the following definitions of the various transformations. [br]You will also need to use your exploration with the dynamic features of the applets in order to complete all of the blanks for each transformation. [br][b]Observe the relationship between the side lengths of the original and the image. Observe the relationship between the angles of the original and the image.[/b]
A translation of an object is a _________________________ transformation because it keeps[br]the same shape and size of the original, but changes its __________________ . The image of[br]a translated shape has angles and side lengths that are ____________________ to the[br]corresponding angles and side lengths of the pre-image (original shape). The vector (or rule –[br]direction and length) moves all the vertices and sides the same______________________.
A reflection of an object is a _________________________ transformation because it keeps[br]the same shape and size of the original, but changes its __________________ and[br]_____________ it. The image of a reflected shape has angles and side lengths that are[br]____________________ to the corresponding angles and side lengths of the pre-image[br](original shape). The line of reflection is the ______________________ of the segments that[br]connect corresponding vertices.
A rotation of an object is a _________________________ transformation because it keeps the[br]same shape and size of the original, but changes its __________________ and[br]______________it. The image of a rotated shape has angles and side lengths that are[br]____________________ to the corresponding angles and side lengths of the pre-image[br](original shape). The angle of rotation moves each vertice/side of the pre-image around a given[br]point of rotation the given amount degrees __________ or_________ so that the angle between corresponding vertices is ________________to the angle of rotation