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Prepared By: Grade 9-Platinum Submitted To:: Mark Denvir Arquiola

This document defines and describes various types of polygons and geometric shapes. It provides definitions for equilateral triangles, obtuse triangles, isosceles triangles, acute triangles, right triangles, scalene triangles, pentagons, nonagons, octagons, heptagons, decagons, hexagons, undecagons, dodecagons, convex polygons, exterior angles, interior angles, concave polygons, diagonals, isosceles trapezoids, quadrilateral, rectangles, trapezoids, parallelograms, rhombus, semicircles, circles, chords, polygons, secant lines, tangent lines, radii, arcs, minor arcs, major arcs, and diameters.
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0% found this document useful (0 votes)
59 views15 pages

Prepared By: Grade 9-Platinum Submitted To:: Mark Denvir Arquiola

This document defines and describes various types of polygons and geometric shapes. It provides definitions for equilateral triangles, obtuse triangles, isosceles triangles, acute triangles, right triangles, scalene triangles, pentagons, nonagons, octagons, heptagons, decagons, hexagons, undecagons, dodecagons, convex polygons, exterior angles, interior angles, concave polygons, diagonals, isosceles trapezoids, quadrilateral, rectangles, trapezoids, parallelograms, rhombus, semicircles, circles, chords, polygons, secant lines, tangent lines, radii, arcs, minor arcs, major arcs, and diameters.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Prepared by:

Mark Denvir Arquiola


Grade 9-Platinum
Submitted to:
Barry Ga
Balusca
Math Teacher

An equilateral triangle is having all


of
its

An obtuse triangles is a triangle


where one of the internal angles is
obtuse (greater than 90 degrees)

sides are equal same with its angle


An isosceles triangle is one having
two of its sides equal

An Acute Triangle is a triangle that


has all angles less than 90

A scalene triangle is one having


no two of its sides equal

A right triangle or rightangled triangle is a triangle in


which one angle is a right angle
(that is a 90-degree angle).

An equiangular triangle (one


that has all three angles that are
equal).

A pentagon (from the Greek


pente and gonia, meaning five and
angle) is any five-sided polygon.
A pentagon may be simple or selfintersecting.

A nonagon is a nine-sided polygon.


A regular nonagon has internal
angles of 140

An octagon is a closed figure 8


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

The heptagon is a polygon with


seven sides and seven angles. In
a regular heptagon, in which all sides
and all angles are equal, the sides
meet at an angle of 5/7 radians,
128.5714286 degrees.

A decagon is any polygon with ten


sides and ten angles.
[1]
A regular decagon has all sides of
equal length and each internal angle
equal to 144

The hexagon (from Greek hex,


"six" and , gona, "corner,
angle") is a polygon with six edges
and six vertices. The total of the
internal angles of any hexagonis
720.

An undecagon is an 11 sided
polygon , undecagon also known as
hendecagon. A regular hendecagon
has internal angles of

147.27 degrees
A dodecagon is any polygon with
twelve sides and twelve angles.
A regular dodecagon has all sides of
equal length and all angles equal to
150. It has 12 lines of symmetry
and rotational symmetry of order 12.

A convex polygon is a simple


polygon whose interior is a convex
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 exterior angle (or external


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 .

An interior angle is the angle


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

Concave or non-convex polygon is


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

A diagonal is a line segment joining


two nonconsecutive vertices of
a polygon or polyhedron. Informally,
any sloping line is called diagonal

Isosceles trapezoid when the sides


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

1.
2.

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

A rectangle is any quadrilateral with


A trapezoid is a 4-sided flat
four right angles. It can also be
shape with straight sides that has a
defined as an equiangular
pair of opposite sides parallel. Called
quadrilateral, since equiangular
an Isosceles trapezoid when the
means that all of its angles are equal
sides that aren't parallel are equal in
(360/4 = 90). It can also be defined
length and both angles coming from a as a parallelogram containing a right
parallel side are equal.
angle.

The word trapezium, 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.

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

A central angle is
an angle whose apex (vertex) is the
center O of a circle and whose legs
(sides) are radii intersecting the
circle in two distinct points A and B
thereby subtending an arc between

A Rhombus is 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
a rhombus bisect each other at

those two points whose angle is (by


definition) equal to that of the
central angle itself.[1] It is also known
as the arc segment's angular
right angles.
distance.

A semicircle is a onedimensional locus of points that forms


half of a circle. The full arc of a
semicircle always measures 180
(equivalently, radians, or a half-turn).
It has only one line of symmetry
(refl
ecti
on

A circle is a
simple shape in Euclidean geometry.
It is the set of all points in
a plane that are at a given distance
from a given point, the centre;
equivalently it is the curve traced out
by a \point that moves so that its
distance from a given point is
constant.

symmetry).

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.

Chord (geometry), a line segment


joining two points on a curve or
inside the circle.

A polygon is traditionally
a plane figure that is bounded by a
finite chain of straightline
segments closing in a loop to form
a closed chain or circuit. These
segments are called
its edges orsides, and the points

where two edges meet are


thepolygon's vertices (singular:
vertex) or corners. The interior of the
polygon is sometimes called its body

A secant line of a curve is a line


that (locally) intersects two points on
the curve.[1] A chord is an interval of
a secant line, the portion of the line
that lies within the curve.

The tangent line (or


simply tangent) to a plane curve at
a given point is the straight line that
"just touches" the curve at that
point. Leibniz defined it as the line
through a pair of infinitely
close points on the curve.

The radius of a circle or sphere is


the length of a line segment from
its center to its perimeter. The name
comes fromLatin radius, meaning
"ray" but also the spoke of a chariot
wheel.

An arc (symbol: ) is
a closed segment of
a differentiable curve. A common
example in the plane (atwodimensional manifold), is a segment
of a circle called a circular arc.[1] In
space, if the arc is part of a great
circle (or great ellipse), it is called
a great arc.

A minor arc may refer to an arc that


is smaller than a semicircle

A major arc may refer to an arc that


is larger than a semicircle .

Diameter of a circle is any


straight line segment that passes
through the center of the circle and
whose endpoints lie on the circle. It
can also be defined as the
longest chord of the circle

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