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Two polygons are similar if and only if the corresponding angles are congruent

Q: How can you tell if two polygons are the same?

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The polygons are said to be similar.

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.

no

yes

Yes, polygons have the same number of sides and vertices.

Related questions

The polygons are said to be 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).

They have the same measures.

the two polygons are congruent if they are the same shape with the same measurements. If they can be flipped, rotated, and/or slid to look identical then they're congruent.

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.

no

Prism

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.

That the sides are of the same ratio and that the interior angles are the same.

yes

Congruent polygons.

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 congruentThe 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.