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11 Cards in this Set
- Front
- Back
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Equality of Cross Products
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For any number's a and c and any nonzero numbers b and d, a/b=c/d if and only if ad=bc.
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Definition of Similar Polygons
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Two polygons are similar iff their corresponding angles are congruent and the measures of their corresponding sides are proportional.
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AA Similarity Theorem
(Angle-Angle) |
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
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SSS Similarity Theorem
(Side-Side-Side) |
If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.
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SAS Similarity Theorem
(Side-Angle-Side) |
If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.
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Similarity of Triangles is:
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Reflexive, Symmetric and Transitive.
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Triangle Proportionality Theorem
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If a line is parallel to one side of a triangle and intersects the other two sides in two distince points, then it separates these sides into segments of proportional lengths.
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Converse of the Triangle Proportionality Theorem
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If a line intersects two sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the third side.
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Triangle Midpoint Theorem
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A segment whose endpoints are the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is one-half the length of the third side.
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Transversal Proportionallity Corollary A
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If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
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Transversal Proportionallity Corollary B
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If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
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