Chapter 6 Notecards
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Ratio of a to b | if a and b are two numbers or quantities and b does not = 0 then the ratio is a/b or a:b
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| Proportion | an equation that states that two ratios are equal
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| Means | The middles terms of a proportion
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| Extremes of a Proportion | The first and last terms of a proportion
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| Cross Products Property of Proportion | In a proportion the product of the extremes equals the product of he means.
EX: If a/b = c/d and d does not = 0 then
ad = bc
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| Geometric Mean | two positive numbers a and b is the positive number x that satisfies a/x = x/b.
so x^2 = ab and x = the square root of ab
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| Additional Properties of Proportions | 2. Reciprocal Property: if two ratios are equal then their reciprocals are also equal.
3. If you interchange the means of proportion, then you from another true proportion.
4. In a proportion, if you add the value of each ratio's denominator to its nume
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| Scale Drawing | is a drawing that is the same shape as the object it represents.
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| Scale | a ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object
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| Similar Polygons | two polygons such that their corresponding angles are congruent & the lengths corresponding sides are proportional
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| Scale Factor | the ratio of the length of two corresponding sides of two similar polygons
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| Perimeters of Similar Polygons Theorem | if two polygons are similar then the ratio of their perimeters is equal to the ratios of their corresponding side lengths
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| Corresponding Lengths in Similar Polygon | if two polygons are similar then the ratio of any two corresponding lengths in the polygons is equal to the scale factor of the similar polygons
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| AA Similarity Postulate | if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar
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| SSS Similarity Theorem | if the corresponding side lengths of two triangles are proportional, then the triangles are similar
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| 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
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| 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.
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| Converse of the Triangle Proportionality Theorem | if a line divides two sides of a triangle proportionally, then it is parallel to the third side.
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| Theorem 6.6 | if three parallel lines intersect two transversals, then they divide the transversals proportionally
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| Theorem 6.7 | if a ray bisects an angle of a triangle then it divides of the opposite side into segments whose lengths are proportional to the lengths of the other two sides.
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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