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Congruency means that the given 2 figures are exactly same in shape and size. Thus all corresponding angles will also be the same.
Similarity of shapes means that the 2 given shapes are same in shape but the measures of corresponding sides may not be the same. Since the shapes are the same, the corresponding angles are also same.
If 2 shapes are congruent, they have equal corresponding angles. The equal angles satisfy the condition for the shapes being similar. Hence congruent shapes are similar as well.
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Do two similar polygons have to be congruent?
no, they could be different size but same shape and be similar but not congruent.
How do you compare and contrast congruent and similar?
Similar means they are of the same shape but not necessary the same size. two figure are congruents when they are of the same shape and size. congruent figures can be similar but not similar figures aren't always congruent
How do you know if two figures are similar or congruent?
congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing
Are similar shapes always congruent?
Yes because to be similar the shapes need to have the same ratio of sides and similar angles. To be congruent the shapes have to be the same shape and size, so 2 congruent shapes will always be similar.
Are all similar figures are congruent?
No because Similar figures are the same shape, angles, and types but not lengths. Congruent means EXACTLY the same in everything.
