The angles are the same, but the sides don't have to be the same length. or Two polygons are similar if and only ifthe corresponding angles are congruent
The corresponding sides must be in a consistent ratio -- for example, if side AB = (2xA'B'), then sides B'C', C'D' ... K'A' must also be twice as long as their corresponding sides BC, CD, ... KA.
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Polygons will be similar if they have the same number of sides AND all of their angles are the same. All of their angles are the same if all but one of their angles are the same because with the same number of sides the angles must add up to the same thing. All squares are similar (4 right angles and sides of equal lenght). All rectangles are similar (4 right angles). We know two triangle are similar if two or mare angles are the same, or if one angle is the same and the two adjacent sides are the same length. Variations of this last proof may apply to some other polygons.
The areas will be proportional to (scale)2
False: Ratio areas= 16 : 64 = 1 : 4 Ratio of sides = sqrt(ratio of areas) = 1 : 2
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If two parallelograms are similar then the corresponding angles are EQUAL.