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i want some important points about understanding the quadrilaterals

i want some important points about understanding the quadrilaterals

Grade:8

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago
InEuclidean plane geometry, aquadrilateralis apolygonwith fouredges(or sides) and fourverticesor corners. Sometimes, the termquadrangleis used, by analogy withtriangle, and sometimestetragonfor consistency withpentagon(5-sided) andhexagon(6-sided), or4-gonfor consistency withk-gons for arbitrary values ofk.

The word "quadrilateral" is derived from the Latin wordsquadri, a variant of four, andlatus, meaning "side".

Quadrilaterals aresimple(not self-intersecting) orcomplex(self-intersecting), also called crossed. Simple quadrilaterals are eitherconvexorconcave.

Theinterior anglesof a simple (and planar) quadrilateralABCDadd up to 360degrees of arc, that is

{\displaystyle \angle A+\angle B+\angle C+\angle D=360^{\circ }.} [\angle A+\angle B+\angle C+\angle D=360^{\circ }.]

This is a special case of then-gon interior angle sum formula (n− 2) × 180°.

All non-self-crossing quadrilateralstile the planeby repeated rotation around the midpoints of their edges.

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