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Math: Chapter 6
| Term | Definition |
|---|---|
| Ratio | a/b a:b a to b |
| Proportion | An equation that states two ratios are equal. a/b=c/d |
| Mean | In a/b=c/d b and c are the means. |
| Extreme | In a/b=c/d a and d are the extremes. |
| Geometric Mean | The positive number that satisfies a/x=x/b so x |
| Ratio | a/b a:b a to b |
| Proportion | A equation that states tow ratios are equal. a/b=c/d |
| Extreme | In a/b=c/d A and D are the extremes. |
| Mean | In a/b=c/d B and C are the means. |
| Geometric Means | The positive number x that satisfies a/x=x/b so x•x=ab and x=√ab. |
| Cross Product Property | The Product of the extremes equals the products of the means. ad=bc |
| Scale Drawing | A drawing that is the same shape as the object it represents. |
| Scale | The ratio that describes how the dimensions in a scale drawing are related to the original dimensions of the real object. |
| Reciprocal Property | If two ratios are equal their reciprocals are also equal. a/b=c/d then b/a=d/c |
| Means Property | If you interchange the means of a proportion then you form another true proportion. |
| Denominator Property | If you add the value of each ratios denominator to its numerator, then you form another true proportion. |
| SImilar Polygons | If corresponding sides are proportional and corresponding angles are congruent then figures are similar. Represented by ~ |
| Scale Factor | The ratio of two corresponding lengths of two similar polygons. |
| Perimeters of Similar Polygons Theorem | If two polygons are similar the ratios of the perimeters is equal to the scale factor. |
| Angle Angle Similarity Postulate | If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. |
| Side Side Side Similarity Theorem | If the corresponding side lengths of two triangle are proportional then the triangles are similar. |
| Side Angle SIde Similarity Theorem | If an angle of one triangle is congruent to the corresponding 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 then it divides those sides proportionally. |
| Converse of the Triangle Proportionality Theorem | If a line divides two side of a triangle proportionally then it is parallel to the third side. |
| Theorem 6.6 I | If three parallel intersect two transversals then they divide the transversals proportionally. |
| Theorem 6.7 | If a ray bisects an angle of a triangle then it divides the opposite side into segments that are proportional to the length of the other two sides. |
| Dialation | A transformation that stretches or shrinks a figure to create a similar figure. |
| Reduction | If the scale factor of a dilation is greater than zero but less than one the dilation is a reduction. |
| Enlargement | If the scale factor of a dilation is greater than one it is an enlargement. |
Created by:
18blake_jessica
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