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Q: Are two congruent pentagons either always sometimes and never similar?

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Congruent figures are always similar. However, similar figures are only sometimes congruent.

Are congruent figures always similar? Yes.

Congruent figures are always similar. However, similar figures are only sometimes congruent.

Circles are congruent when they have the same radius and they are similar when their radii are different in lengths.

Never

It is sometimes true that two parallelograms are similar. The could be congruent, or dissimilar in that one is not an enlargement of the other.

Pentagons do not have to be regular. Elongating one side will skew two angles and make them non congruent with the other three, creating an irregular polygon.

No. A triangle is similar to one that is twice its size but the two are not congruent.

the shape? no, not always. but they are always at least similar figures. but the angles alone are 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.

Sometimes. Remember, in order for two polygons to be similar, their angles must be congruent, and their corresponding sides must be proportional. In a rhombus, it is always possible for the angles to differ.

Yes, in similar triangles, the angles are always congruent, and the sides have the same proportions to each other.

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