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Q: Are pentagons congruent

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Not in general. Imagine making a pentagon out of sticks connected with hinges for the vertexes. You can bend it all around, making pentagons that are not congruent to the original, even though the sides remain the same length. A similar triangle would be rigid, even if the corners were connected with hinges.

Yes, it definately can and always will be. Since you wrote that both pentagons are regular, all sides (and angles) are equivalent to each other. On the first pentagon, one side measured 5cm, so therefore the rest of the sides total up to 25cm. Since the second pentagon has perimeter 25cm, the pentagons must be congruent.

pentagons

Not with regular pentagons because each interior angle is 108 degrees which is not a factor of 360 degrees

Two pairs of adjacent sides are congruent. The angles between the non-congruent sides are congruent.

Related questions

Yes. One can have congruent pentagons.

Yes.

Yes providing that they are regular 5 sided pentagons otherwise no if they are irregular pentagons

you don't

Yes

A polyhedron with 12 congruent faces is a dodecahedron.

An object with 2 congruent pentagons at opposite ends connected with 5 rectangles is a pentagonal prism.

If they are congruent they must be similar.

A dodecahedron.

A pentagonal prism.

Nothing

More or less two identical pentagons side by side.

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