Ratio and Proportion & Similar Triangles (Definition)

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10 Terms

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Ratio

Is a comparison between two numbers or quantities.

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Proportion

Is the equality between two ratios.

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Fundamental Law of Proportion

The product of the means is equal to the product of the extremes.

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Similar Figures

These are figures that have exactly the same shape but not necessarily have the same size. The symbol used to denote similarity is ~

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Corresponding angles

Are pair of matching angles that are in the same spot in two different shapes.

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Corresponding sides

are pair of matching sides that are in the same spot in two different shapes.

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AA Similarity Theorem

If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

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SAS Similarity Theorem

If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

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SSS Similarity Theorem

If the three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.

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Scale Factor

Is the amount of enlargement or reduction needed to get a similar figure from the other. This is the ratio of the dimension of an object in its dilated image to its actual size.