T.i.P.S.

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.
Example

Quadrilateral ABCD with the origin as the center of dilation was used to create Quadrilateral A’B’C’D’.Write a rule that represents the dilation that was applied to quadrilateral ABCD to create A’B’C’D’ and justify your thinking.
Hint
Possible Solutions
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TEKS

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 twodimensional figures on a coordinate plane with the origin as the center of dilation