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17 Cards in this Set
- Front
- Back
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ratio
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a comparison of two quantities
a/b or a : b |
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proportion
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an equation stating that two ratios that are equal
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cross product
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a ⋅ d and b ⋅ d in the proportion,
a/b = c/d. Property: The proportion is true if and only if the cross products are equal. |
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means
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c and c in the proportion, a/b = c/d
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extremes
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a and d in the proportion, a/b = c/d
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similar polygons
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scale factor
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the ratio of the lengths of corresponding sides in similar polygons
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midsegment
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Angle-Angle (AA) Similarity Theorem
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Side-Side-Side (SSS) Similarity Theorem
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Side-Angle-Side (SAS) Similarity Theorem
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Triangle Proportionality Theorem
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Converse of the Triangle Proportionality Theorem
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Triangle Midsegment Theorem
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Proportional Perimeters Thoerem
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If two triangles are similar, then the perimeters are proportional to the measures of corresponding sides.
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proportional parts of similar triangles
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If two triangles are similar, then:
1. the measures of the corresponding angle bisectors of the triangles 2. the measures of the corresponding altitudes 3. the measures of the corresponding medians 4. the perimeters are proportional are proportional to the measures of the corresponding sides |
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angle bisector & the opposite side
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