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| RATIO | Two quantities that are measured in the same units can be written as a _____, such as a/b or a:b. |
| PROPORTION | An equation that equates two ratios. |
| EXTREMES | In a/b=c/d, the quantities a and d are the _______ of the proportion. |
| MEANS | In a/b=c/d, the quantities b and c are the _______ of the proportion. |
| CROSS PRODUCT PROPERTY | The product of the extremes equals the product of the means. |
| RECIPROCAL PROPERTY | If two ratios are equal, then their reciprocals are also equal. |
| INTERCHANGE MEANS PROPERTY | If a/b=c/d, then a/c=b/d. (Swap the means and the proportion is still equal.) |
| ARITHMETIC MEAN | An average of numbers found by adding the numbers, then dividing the sum by the number of quantities that were added. |
| GEOMETRIC MEAN | An average found by multiplying two numbers, then taking the square root of the product. |
| GEAR RATIO | The ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear. |
| SIMILAR POLYGONS | Polygons whose corresponding angles are congruent, and whose lengths of corresponding sides are proportional. |
| SCALE FACTOR | The ratio of one pair of corresponding sides in similar polygons. |
| PERIMETERS | If two polygons are similar, then the ratio of their ____ is equal to the ratio of their corresponding sides. |
| AA Similarity Postulate | If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. |
| SSS Similarity Theorem | If corresponding sides of two triangles are proportional, then the two triangles are similar. |
| SAS Similarity Theorem | If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. |
| Triangle Proportionality Theorem | If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. |
| Triangle Proportionality Converse | If a line divides two sides of a triangle proportionally, then it is parallel to the third side. |
| PROPORTIONALLY | If three parallel lines intersect two transversals, then they divide the transversals _______. |
| BISECTS | If a ray ______ an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides. |
| DILATION | A non-rigid transformation where every image is similar to its preimage. |
| REDUCTION | A dilation with a scale factor between 0 and 1. |
| ENLARGEMENT | A dilation with a scale factor that is greater than 1. |
