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geometry math

Date post: 16-Sep-2015
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kinds of polygon
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Prepared by: Jhon Nickson Mellorin Grade 9-Platinum Submitted to: Barry Ga Balusca Math Teacher
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Prepared by:Jhon Nickson Mellorin Grade 9-PlatinumSubmitted to:Barry Ga BaluscaMath Teacher

An equiangular triangle (one that has all three angles that are equal).

Isosceles trapezoidwhen the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal.

The wordtrapezium, used to describe a geometric shape, has two contradictory meanings: (Outside the US) a quadrilateral with one pair of parallel sides, known in the US as a trapezoid. (In the US) a quadrilateral with no parallel sides (a shape known elsewhere as a general irregular quadrilateral). A 4-sided flat shape with straight sides and NO parallel sides.

An Acute Triangle is a triangle that has all angles less than 90

Anoctagon is a closed figure 8 sidedpolygon of the same length and internal angles of the same size. The internalangleat each vertex of a regular octagon is 135and the sum of all the internal angles of any octagon is 1080 (as with all polygons, the external angles total 360).

Aninterior angle is the angle located inside the polygon where can be found in every boundaries on a certain polygon.

Asemicircleis a one-dimensionallocusof points that forms half of acircle. The fullarcof a semicircle always measures 180 (equivalently,radians, or ahalf-turn). It has only one line of symmetry (reflection symmetry).

Anexteriorangle(orexternal angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side. Exterior angle is the angle that can be seen outside of the polygon .

A dodecagonis any polygon with twelve sides and twelveangles. Aregulardodecagon has all sides of equal length and all angles equal to 150. It has 12 lines of symmetry and rotational symmetry of order 12.

Theheptagonis apolygonwith seven sides and sevenangles. In aregularheptagon, in which all sides and all angles are equal, the sides meet at an angle of 5/7radians, 128.5714286degrees.

A scalene triangle is one having no two of its sides equal

Adecagonis anypolygonwith ten sides and tenangles.[1]Aregulardecagon has all sides of equal length and each internal angle equal to 144

Aconvex polygonis asimple polygonwhoseinterioris aconvex set.[1]In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.

An undecagon is an 11 sided polygon , undecagon also known as hendecagon. A regular hendecagon hasinternal anglesof 147.27degrees

Concave or non-convex polygon is a simple (non-self-intersecting) polygon that is not convex is calledconcave,[6]non-convex[7]orreentrant.[8]A simple concave polygon will always have an interior angle with a measure that is greater than 180 degrees.

Apentagon(from the Greek pente and gonia, meaning five and angle) is any five-sided polygon. Apentagonmay be simple or self-intersecting.

A diagonalis aline segmentjoining two nonconsecutiveverticesof apolygonorpolyhedron. Informally, any sloping line is called diagonal

Arectangleis any quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360/4 = 90). It can also be defined as a parallelogram containing a right angle.

Thehexagon(from Greek hex, "six" and , gona, "corner, angle") is a polygon with six edges and six vertices. The total of the internal angles of anyhexagonis 720.

An obtuse triangles is a triangle where one of the internal angles is obtuse (greater than 90 degrees)

Chord (geometry), a line segment joining two points on a curve or inside the circle.

Aquadrilateralis a four-sided polygon with four angles. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus.

1. 2. Atrapezoidis a 4-sided flat shape with straight sides that has a pair of opposite sides parallel. Called an Isoscelestrapezoidwhen the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal.

Theradiusof acircleorsphereis the length of aline segmentfrom itscenterto itsperimeter. The name comes fromLatinradius, meaning "ray" but also the spoke of a chariot wheel.

Anonagonis a nine-sided polygon.A regular nonagon hasinternal anglesof 140

Aparallelogramis a quadrilateral with both pairs of opposite sides parallel. If a quadrilateral is aparallelogram, the 2 pairs of opposite sides are congruent

Acentral angleis ananglewhose apex (vertex) is the center O of a circle and whose legs (sides) areradiiintersecting the circle in two distinct points A and B thereby subtendinganarcbetween those two points whose angle is (by definition) equal to that of the central angle itself.[1]It is also known as the arcsegment'sangular distance.

An isosceles triangle is one having two of its sides equal

ARhombusis a flat shape with 4 equal straight sides. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). And the diagonals "p" and "q" of arhombusbisect each other at right angles.

Acircleis a simpleshapeinEuclidean geometry. It is the set of allpointsin aplanethat are at a given distance from a given point, thecentre; equivalently it is the curve traced out by a \point that moves so that its distance from a given point is constant.

Square is a 4-sided flat shape with straight sides where all sides have equal and all interior angles also are equal which is 90 degrees.

Diameterof acircleis any straightline segmentthat passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longestchordof the circle

Aright triangleorright-angledtriangleis atrianglein which one angle is arightangle (that is a 90-degree angle).

Asecant lineof acurveis a line that (locally) intersects twopointson the curve.[1]Achordis anintervalof a secant line, the portion of the line that lies within the curve.

Thetangent line(or simplytangent) to a planecurveat a givenpointis thestraight linethat "just touches" the curve at that point. Leibniz defined it as the line through a pair ofinfinitely closepoints on the curve.

An equilateral triangle is having all of its sides are equal same with its angle

Anarc(symbol:) is aclosedsegment of adifferentiablecurve. A common example in theplane(atwo-dimensional manifold), is a segment of acirclecalled acircular arc.[1]In space, if the arc is part of agreat circle(orgreat ellipse), it is called agreat arc.

Aminor arcmay refer to anarcthat is smaller than asemicircle

Amajor arcmay refer to anarcthat is larger than asemicircle .

Apolygonis traditionally aplanefigurethat is bounded by a finite chain of straightline segmentsclosing in a loop to form aclosed chainorcircuit. These segments are called itsedgesorsides, and the points where two edges meet are thepolygon'svertices(singular: vertex) orcorners. The interior of the polygon is sometimes called itsbody


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