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Geometry Ch 7 Fitch FMS
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Terms in this set (16)
7-1 Ratio (proporción, rapport, bi, Bǐ)
Comparison of two quantities by division. a/b or a:b or a to b
7-1 Extended Ratio (ampliado, étendu, hwagjang, Kuòzhǎn)
Comparison of 3 or more quantities (e.g., a:b:c)
7-1 Proportion (proporción, biyul, Bǐlì)
An equation that states that 2 ratios are equal. a/b = c/d or a:b = c:d
7-1 a/b = c/d is proportional to
ad = cb; a/c = b/d; b/a = d/c;
7-1 Extremes (extremo, extrême, geugdan, Jíduān)
The first and last terms of a proportion
7-1 Means (medio, moyen terme, jung-gan, Zhōngjiān)
The middle terms of a proportion
7-1 Cross-Products Property
Cross-multiply. The product of the extremes equals the product of the means.
7-2 Similar Figures (similaire, biseushan, Lèisì)
2 figures that have the same shape. Not necessarily the same size.
7-2 ~ (tilde "TILL-duh")
Similar, similarity (also Not, Negation, Approximately)
7-2 Similar Polygons
Corresponding angles are congruent; lengths of corresponding sides are proportional.
7-2 Extended Proportion
3 or more equal ratios (e.g., a/b = c/d = e/f)
7-2 Scale Factor (escala, échelle, gyumo, Guīmó)
Ratio of the lengths of corresponding sides of similar figures
7-3 AA~ Postulate
2 triangles are similar if 2 angles of one triangle are congruent to 2 angles of another
7-3 SAS~ Theorem
2 triangles are similar if 2 corresponding sides are in proportion and the included angles are congruent
7-3 SSS~ Theorem
2 triangles are similar if all corresponding sides are in proportion
7-4 Geometric Mean
Used in Right Triangle Similarity. The number x such that a/x = x/b, where a, b, and x are positive numbers.
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