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10 Cards in this Set
- Front
- Back
how to express a ratio |
a to b a:b a/b (b cant be 0 for this) |
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how to express a proportion |
proportion is a statement that two ratios are equal. you can write it like this a c - = - OR a:b = c:d b d |
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extremes & means of a proportion |
a:b = c:d a and d are extremes ||| b and c are means the product of means is equal to the product of extremes (ad=bc) |
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SIMILAR TRIANGLES |
similar triangles' angles & sides are proportional to the corresponding sides and angles of the other triangle. Can be proven with (AA, SSS, SAS) |
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AA similarity (similar triangles) |
two angles in one triangle are congruent to two angles in another triangle. |
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SSS similarity (similar triangles) |
measures of corresponding sides of triangles are proportional |
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SAS similarity(similar triangles) |
measure of two sides of a triangle are proportional to the measures of the corresponding sides of the other triangle and the included angles are congruent. |
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GEOMETRIC MEAN |
the geometric mean of two positive numbers a and b is a number x a x - = - square root of a times b x b |
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MORE GEOMETRIC MEAN |
both hypotenuses can be used as the geometric mean |
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MORE GEOMETRIC MEAN |
the altitude can also be used as the geometric mean |