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| Dilation | a transformation determined by a center point C and the scale factor k>0. For any point P in the plan, the image P’ of P is the point on CP such that CP’=k x CP. |
| Fractal | a figure generated by repeating a special sequence of steps infinitely often. Fractals often exhibit self-similarity. |
| Iteration | a process of repeating the same procedure over and over again. |
| Scale factor | the ratio of the lengths of two corresponding sides of two similar polygons. |
| Self-similar | if any parts of a fractal image are replicas of the entire image, the image is self-similar. |
| Seirpinski triangle | A fractal triangle created by connecting midpoints of an equilateral triangle. The resulting fractal is named after the Polish mathematician, Waclaw Seirpinski. |
| Similar figures | figures that have the same shape but that may differ in size. |
| Similar polygons | two polygons are similar if there is a correspondence between their vertices such that corresponding angles are congruent and the measures of corresponding sides are proportional. |
| Strictly self-similar | a figure is strictly self-similar if any of its parts, no matter where they are located or what size is selected, contain the same figure as the whole. |
| Cross products | in the proportion a/b = c/d, where b is not equal to 0 and d is not equal to 0, the cross products are ad and bc. The proportion is true if and only if the cross products are equal. |
| Extremes | in the proportion, a/b = c/d, the numbers a and d. |
| Means | in the proportion, a/b = c/d, the numbers b and c. |
| Proportion | an equation of the form a/b = c/d that states that two ratios are equivalent. |
| Ratio | a comparison of two numbers using division. |
