Transformations Module 5
- Author:
- Meghan Cullinan
Definitions
Rigid Transformations - A transformation that does not alter the size or shape of a figure.
Non-rigid Transformation- A transformation that changes the size or shape of a figure.
Directions:
Use the definitions of rigid vs. non-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 it’s __________________ . 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 ______________________.
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 it’s __________________ and
____________________. 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 it’s __________________ and
____________________. The image of a rotated shape has angles and side lengths that are
____________________ to the corresponding angles and side lengths of the preimage
(original shape). The angle of rotation moves each point/side of the preimage around a given
point of rotation the given ______________________ degrees (either counterclockwise or
clockwise) so that the angle between corresponding vertices is ________________to the
angle of rotation
Dilation with Slider
What is a Dilation?
A dilation of an object is a _________________________ transformation because it changes
the size of the original by a given _______________________. The image of a dilated shape
has corresponding angles that are ____________________ and corresponding sides that are
________________ and equivalent to the _____________________.