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Ratio
A way of comparing two quantities of the same kind using division
Proportion
A statement that two ratios are equal.
Similar Figures
Same shape, not size
All corresponding angles are equal
All corresponding sides are proportional
Similar Polygons
All corresponding angles are equal
All corresponding sides are in proportion
AA
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
SAS
If two sides of one triangle are in proportion to two sides of another triangle, and the angle between those sides is congruent, then the triangles are similar.
SSS
If all three pairs of corresponding sides of two triangles are in proportion, then the triangles are similar.
TPT
If a line parallel to one side of a triangle intersects the other two sides, then it divides those two sides into segments that are proportional.
TPTC
If three or more parallel lines are drawn to a single side of a triangle, they divide the other two sides into proportional segments.