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Similar polygons
two figures that have proportional side lengths and congruent corresponding angles
Scale factor
the ratio of the lengths of two corresponding sides
Perimeters of Similar Polygons
if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths
AA Similarity Postulate
if two angles of one triangle are congruent to two angles of another triangle, then the two triangles similar
SSS Similarity Theorem
if the corresponding side lengths of two triangles are proportional, then the triangles are similar
SAS Similarity Theorem
if an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar
Triangle Proportionality Theorem
if a line parallel to one side of a triangle intersects the other sides, then it divides the two sides proportionally
If three parallel lines intersect two transversals,
then they divide the transversals proportionally
Note
Flashcard