Vocabulary

Transformation: A transformation is an operation that maps an original geometric figure, the preimage, onto a new figure called the image.

Congruent: Figures that have the same shape and same size. 

Translation: A translation slides a figure from one position to another without turning it.

Reflection: A transformation where a figure is flipped over a line called a line of reflection.

Rotation: A rotation is a transformation in which a figure is rotated, or turned, about a fixed point. 

Center of Rotaion: A fixed point around which shapes move in a circular motion to a new position.

Dilation: A transformation that enlarges or reduces a figure by a scale factor.

Scale Factor: A scale factor is the ratio of the lengths of two corresponding sides of two similar polygons.

Concept

Identify the terms based on the vocabulary used for transformations.

Rule

Identify and select the correct answer choice based on the properties of transformation.

Example

Which transformation keeps the length of a line the same and the orientation the same?

Solution

By definition, a translation is a type of transformation that, when applied to a line segment, will keep the length the same and the orientation the same as well.  

Pre-requisite Skills

Translation (8.7.1)

Reflection (8.7.2)

Rotation (8.7.3)

Dilation (8.7.4)