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What shape has equal diagonals that bisect each other but no other information is known?
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.
Which polygon does not tessellate and why?
Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.
Is it possible to create a regular tesselation with a regular polygon?
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
Is there a rule to decide if a shape will tessellate?
For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.
What shape have diagonals that bisect each other at right angles?
Square, rhombus, regular octagon, other regular polygons with 4n sides (where n is an integer).
