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two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another

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User SHRram
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1 Answer

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Final answer:

No, two irregular pentagons with sides of length 1 unit do not necessarily mean that the figures are congruent.

Step-by-step explanation:

No, two irregular pentagons with sides of length 1 unit do not necessarily mean that the figures are congruent. Congruent figures have the same shape and size. For example, consider two irregular pentagons where one has a side that is longer than the corresponding side of the other pentagon.

Even though all the sides in both pentagons have a length of 1 unit, the shapes of the two pentagons will be different and therefore they are not congruent. Thus, congruent figures generally have corresponding sides and angles that are equal. In order to determine congruence, it is required to compare the specific side lengths and angles of the two pentagons.

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User Ascanio
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