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The two defining requirements of similar figures is that the corresponding angles are all equal and that the ratio of corresponding sides is a constant.

So if you know the ratio, R, then draw a line parallel to a line of the first figure whose length is R*(length of line in first figure). At its end, draw an angle congruent to the corresponding angle in the first figure. Draw the other arm of the angle so that its length is R*(length of the corresponding line in the first figure). Continue until you return to the starting point.

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