Question

In an isometric transformation, the preimage and image must not __________.





A.


change size




B.


rotate




C.


preserve angle measures




D.


reflect across the -axis

Answer 1

change size!

Answer 2

A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or shape.

The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.

Types of transformations in math
Translation
Reflection
point reflection
Rotation
Dilation
A compositions of transformations means that two or more transformations will be performed on one object. For instance, we could perform a reflection and then a translation on the same point.

There are several interesting theorems involving the composition of reflections.

Important Terms & Definitions

Preimage: the figure prior to the transformation.
Image: The figure after the transformation.
Isometry: a transformation that preserves congruence. In other words, a transformation in which the image and preimage have the same side lengths and angle measurements. The following transformations maintain their mathematical congruence.
Translations (a translation is considered a 'direct isometry' because it not only maintains congruence, but it also, unlike reflections and rotations, preserves its orientation.
Rotations
Reflections
Dilations