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Q: Do all regular pentagons have congruent diagonals?

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

True

All regular polygons.

squares,rectangles,regular pentagons

I assume you mean a regular dodecahedron. A regular dodecahedron has twelve faces, each of which are regular* pentagons. *(all sides are congruent, all angles are congruent)

Sometimes. For a regular pentagon, all the sides and interior angles are congruent. However, this isn't the case for some pentagons.

No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).

"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.

All pentagons are regular or irregular 5 sided polygons

No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.

Diagonals are congruent

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