Students should understand that scale factor shows the multiplicative relationship between the dimensions of two figures as well as the multiplicative relationship between coordinates of corresponding points on a figure if the figures have the origin as their center of dilation. Students must understand how to express the rules for a dilation in algebraic form between two shapes on a coordinate plane.

 

 

 Write a rule that represents the dilation that was applied to quadrilateral ABCD to create A’B’C’D’ and justify your thinking.

 

8.3 Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:

(C) use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation