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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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How can you tell whether two polygons are similar?
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.
What does scale factor tell about the area of two similar figures?
The areas will be proportional to (scale)2
Two similar polygons have areas of 16 square inches and 64 square inches the ratio of a pair of corresponding sides is 1 to 4 is this true or false?
False: Ratio areas= 16 : 64 = 1 : 4 Ratio of sides = sqrt(ratio of areas) = 1 : 2
How can you prove that similar matrices have the same trace?
you tell me
If two parallelograms are similar then the corresponding angles are what?
If two parallelograms are similar then the corresponding angles are EQUAL.
How can you tell if two polygons are the same?
Two polygons are similar if and only if the corresponding angles are congruent
Which polygons are not similar?
Any two polygons with a different number of sides are not similar.
Two polygons with same shape not size?
The polygons are said to be similar.
Must the corresponding angles of two similar regular polygons be equal?
All angle of two similar regular polygons must be equal.
The corresponding sides of two similar regular polygons must have equal lenghts?
Yes, the corresponding sides of two similar regular polygons must have equal lengths. This is because both the polygons are similar, which means that since they are also polygons, they must have equal lengths.
Are two regular polygons always similar?
no.
What do you call two similar polygons?
congruent
If corresponding angles are congruent and corresponding sides are proportional two polygons are?
similar polygons
Two two-dimensional polygons are similar if their are proportional?
sidelengths
What determines if two polygons are congruent?
similar polygons may not be congruent (different sizes) congruent polygons are always similar (equal in every geometric respect - including
Are any two regular polygons with the same number of sides similar?
Yes, regular polygons will have all sides equal length, and all angles the same. If two polygons of the same number of sides are 'regular' then those two polygons will be similar (they may be scaled, for example).
Do two polygons which are similar have the same shape?
Similar polygons are polygons for which all corresponding angles are congruent and all corresponding sides are proportional. From this definition we can say they have the same shape.
