Main Difference
The main difference between Hexagon and Quadrilateral is that the Hexagon is a polygon with six sides and Quadrilateral is a polygon with four sides.
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Hexagon
In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six sided polygon or 6-gon. The total of the internal angles of any hexagon is 720°.
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Quadrilateral
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.
The origin of the word “quadrilateral” is the two Latin words quadri, a variant of four, and latus, meaning “side”.
Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.
The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is
∠
A
+
∠
B
+
∠
C
+
∠
D
=
360
∘
.
{displaystyle angle A+angle B+angle C+angle D=360^{circ }.}
This is a special case of the n-gon interior angle sum formula (n − 2) × 180°.
All non-self-crossing quadrilaterals tile the plane by repeated rotation around the midpoints of their edges.
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Hexagon (noun)
A polygon with six sides and six angles.
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Quadrilateral (noun)
A polygon with four sides.
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Quadrilateral (noun)
An area defended by four fortresses supporting each other.
“The Venetian quadrilateral comprised Mantua, Peschiera, Verona, and Legnano.”
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Quadrilateral (adjective)
having four sides.
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Hexagon (noun)
a plane figure with six straight sides and angles.