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Two polygons with same shape not size?
The polygons are said to be similar.
How can you tell if two polygons are the same?
Two polygons are similar if and only if the corresponding angles are congruent
Are two regular polygons similar if and only if they have the same number of sides?
yes
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.
Two polygons with same shape not size?
The polygons are said to be similar.
Do two similar polygons have to be congruent?
no, they could be different size but same shape and be similar but not congruent.
How can you tell if two polygons are the same?
Two polygons are similar if and only if the corresponding angles are congruent
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).
What has two parallel polygons that are the same size and shape?
Prism
What does it mean for two polygons to be congruent?
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.
Are two regular polygons similar if and only if they have the same number of sides?
yes
Which polygons are not similar?
Any two polygons with a different number of sides are not similar.
What makes two shape similar?
Two polygons are similar if all of the following conditions apply: they have the same number of sides; corresponding sides are always in the same ratio; all angles are congruent. For shapes in general, I suspect the definition of similarity is somewhat more complicated.
What are the two conditions that need to be true to prove that two polygons are similar?
That the sides are of the same ratio and that the interior angles are the same.
What are features that make two planar figures similar?
If all angles of two polygons are the same the figures are similar (irrespective of rotation).
What are the two main properties of similar of polygons?
Their sides are proportional and their interior angles are the same
