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Q: What polygons are all the diagonals always longer than the sides?

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Regular polygons with even sides if there are 6 or more of them; selected irregular polygons with seven or more odd numbers of sides.

yes

It has 464 diagonals. I used n(n-3)/2. Works for all polygons.

Diagonals never bisect sides. They join the ends of sides.In a rectangle, the diagonals always bisect each other.

On squares and rectangles, yes. But on parallelograms and rhombus the one diagonal can be shorter than one of the sides.

All polygons have 3 or more sides having exterior angles that add up to 360 degrees and the first 10 can be classed as follows in order of their geometrical names, number of sides, sum of interior angles and number of diagonals:- 1 Triangle: 3 sides, 180 degrees and no diagonals 2 Quadrilateral: 4 sides, 360 degrees and 2 diagonals 3 Pentagon: 5 sides, 540 degrees and 5 diagonals 4 Hexagon: 6 sides, 720 degrees and 9 diagonals 5 Heptagon or Septagon: 7 sides, 900 degrees and 14 diagonals 6 Octagon: 8 sides, 1080 degrees and 20 diagonals 7 Nonagon: 9 sides, 1260 degrees and 27 diagonals 8 Decagon: 10 sides, 1440 degrees and 35 diagonals 9 Undecagon: 11 sides, 1620 degrees and 44 diagonals 10 Dodecagon: 12 sides, 1800 degrees and 54 diagonals Note that all polygons can be regular, irregular, congruent or similar

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squares and triangles :/

All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.

yae they always do:)

A rhombus has 4 equal sides and the diagonals are always perpendicular

Yes.

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