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Similar Polygons
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Two polygons are similar polygons if and only if their corresponding angles are congruent and their corresponding side lengths are proportional
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Similarity Ratio
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The ratio of the lengths of the corresponding sides of two similar polygons
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Similarity Transformation
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A dilation or a composite of one or more dilations and one or more congruence transformations
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Dilation
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(kx, ky)
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Indirect Measurement
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Any method of measuring that uses formulas, similar figures, and/or proportions to measure an object
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Scale Drawing
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Represents an object as smaller or larger than its actual size
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Scale
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The ratio of any length in the drawing to the corresponding actual length
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Dilation
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A transformation that changes the size of a figure but not its shape
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Scale Factor
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Describes how much the figure is enlarge or reduced
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Reflexive
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Triangle ABC is similar to triangle ABC
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Symmetric
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If triangles ABC is similar to DEF, then triangle DEF is similar to triangle ABC
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Transitive
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If triangle ABC is similar to DEF and triangle DEF is similar to XYZ, then triangle ABC is similar to triangle XYZ
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Angle-Angle (AA) Similarity Postulate
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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-Side-Side (SSS) Similarity Theorem
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If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar
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Aide-Angle-Side (SAS) Similarity
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If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar
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Triangle Proportionality Theorem
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If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally
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Converse of the Triangle Proportionality Theorem
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If a line divides two sides of a triangle proportionally, then it is parallel to the third side
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Two-Transversal Proportionality
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If three or more parallel lines intersect two transversals, then they divide the transversals proportionally
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Triangle Angle Bisector Theorem
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An angle bisector of a triangle divides the opposite sides into two segments whose lengths are proportional to the lengths of the other two sides
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Proportional Perimeters and Areas Theorem
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If the similarity ratio of two similar figures is a/b, then the ratio of their perimeters is a/b, and the ratio of their areas is a2/b2
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Cheatography n. The art of mapping complex subjects into clear, instantly navigable reference guides.
