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Chapter Seven
Proportions and Similarity
| Term | Definition |
|---|---|
| ratio | comparison of two quantities using division |
| extended ratio | Used to compare 3 or more quantities, a:b:c |
| proportion | an equation that states two ratios are equal |
| cross products property | In a proportion, the product of the extremes equals the products of the means |
| Equivalent Proportions | a/b=c/d; b/a=d/c; a/c=b/d; c/a=d/b |
| similar polygons | 2 polygons are similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional. |
| scale factor | The ratio of the lengths of the corresponding sides of 2 similar polygons. It depends upon the order of comparison. |
| Similarity and Congruence | If two polygons are congruent, they are similar. All of the corresponding angles are congruent and the lengths of the corresponding sides have a ratio of 1:1 |
| Identifying Similar Triangles | When only 2 congruent angles of a triangle are given, remember you can use the THIRD ANGLE THEOREM to establish that the remaining corresponding angles are also congruent. |
| midsegment of a triangle | segment with endpoints that are the midpoints of two sides of the triangle. Every triangle has 3 midsegments. |
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amgeometry
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