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Chapter 6 - Geo.
Chapter 6 Vocabulary - Similarity
| Word | Definition |
|---|---|
| center of dilation | in dilation, the fixed point about which the figure is enlarged or reduced |
| dilation | a transformation that stretches or shrinks a figure to create a similar figure |
| enlargement | a dilation with a scale factor larger than one |
| extremes of a proportion | the first and last terms of a proportion |
| geometric mean | for two positive numbers a and b, the positive number x that satisfies a/x = x/b; so x squared = ab and x = the square foot of ab |
| means of a proportion | the middle terms of a proportion |
| proportion | an equation that states that two ratios are equal |
| ratio of a to b | a comparison of two numbers using division; the ratio of a to b, where be does not equal 0, can be written as a to b, as a:b, or as a/b |
| reduction | a dilation with a scale factor between 0 and 1 |
| scale | a ratio that describes how the dimensions in a scale drawing are related to the actual dimensions of the object |
| scale drawing | a drawing that is the same shape as the object it represents |
| scale factor of a dilation | in a dilation, the ratio of a side length of the image to the corresponding side length of the original figure |
| scale factor of two similar polygons | the ratio of the lengths of two corresponding sides of two polygons |
| similar polygons | two polygons such that their corresponding angles are congruent and the lengths of corresponding sides are proportional |