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15 Cards in this Set
- Front
- Back
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Ratio |
Is a number that is the quotient of one number is divided by another number.
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Proportion
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Is an equation with two ratios being equal to one another.
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Properties of Proportions
(a/b) = (c/d) is equivalent to |
ad = bc
(a/c) = (b/d) (b/a) = (d/c) ((a+b)/b) = ((c+d)/d) |
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Properties of Proportions
If (a/b) = (c/d) = (e/f) ... |
then ((a+c+e+...)/(b+d+f+...)) = (a/b) = ...
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Means and Extremes
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(a/b) = (c/d)
Means are b and c Extremes are a and d |
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Geomertic Mean
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Is when the means are the same number in a proportion.
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Similar Polygons
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Are two polygons that have their vertices paried up so that:
1) Corresponding angles are congruent. 2) Corresponding sides are proportional. |
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Angle-Angle (AA) Similarity Postulate (AA~)
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If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
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Side-Angle-Side (SAS) Similarity Theorem (SAS~)
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If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar
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Side-Side-Side (SSS) Similarity Theorem (SSS~)
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If the sides of two triangles are in proportion, then the triangles are similar.
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Triangle Proportionality Theorem
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If a line parallel to one side of a triangle intersects he other two sides, then it divides those sides proportionally.
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Triangle Angle-Bisector Theorem
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If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides.
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Scale Factor
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If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the scale factor.
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Similar Symbol
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The symbol is '~'
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Ways to prove triangles similar
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AA~ |
