Exploring Rigid Transformations
Definitions
Rigid Transformations - A transformation that does not alter the size or shape of a figure.
Directions:
Use the definitions of rigid transformations in order to fill in the blank of the following definitions of the various transformations.
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.
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.
Translation by a Vector
What is a Translation?
A translation of an object is a _________________________ transformation because it keeps
the same shape and size of the original, but changes its __________________ . The image of
a translated shape has angles and side lengths that are ____________________ to the
corresponding angles and side lengths of the pre-image (original shape). The vector (or rule –
direction and length) moves all the vertices and sides the same______________________.
Reflection
What is a Reflection?
A reflection of an object is a _________________________ transformation because it keeps
the same shape and size of the original, but changes its __________________ and
_____________ it. The image of a reflected shape has angles and side lengths that are
____________________ to the corresponding angles and side lengths of the pre-image
(original shape). The line of reflection is the ______________________ of the segments that
connect corresponding vertices.
Rotation about a Point (Slider)
What is a Rotation?
A rotation of an object is a _________________________ transformation because it keeps the
same shape and size of the original, but changes its __________________ and
______________it. The image of a rotated shape has angles and side lengths that are
____________________ to the corresponding angles and side lengths of the pre-image
(original shape). The angle of rotation moves each vertice/side of the pre-image around a given
point of rotation the given amount degrees __________ or_________ so that the angle between corresponding vertices is ________________to the angle of rotation