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Similar Figures:  Figures that have the same shape but not necessarily the same size.
 Similar figures and congruent figures both have the same shape. The difference between similar figures and congruent figures is that congruent figures also have the same size. So, corresponding sides and corresponding angles of congruent figures have the same measures. The measures of corresponding angles in similar figures are the same, but the measures of corresponding sides in similar figures are multiples of each other (i.e., they are proportional). Therefore, in order to prove that any two figures are similar, one must show that these two conditions hold for all corresponding angles and all corresponding sides of the two figures. For example, the two parallelograms below are similar figures. Notice that they have the same shape, but obviously not the same size. All four of their corresponding angles are congruent, and all four of their corresponding sides are proportional (here, in a ratio of 1 to 2, or 0.500).