Math 5.g5.q3 w3 polygons

1. Name: _____________________________ Section: ________
Date Received:______________ Date Returned: _______________
QUARTER 3- MATH IV- WEEK 3
For the last two weeks you have been dealing with percentage,
base and rate. For this week you are going to learn polygons.
Polygons are shapes, and they are part of our daily living. From
our tables, chairs and even plates. So it is important to know how to
describe them, tell their names and how to differentiate one polygon
from another.
You alreadyencountered the three sided polygonscalled triangles
and four sided polygons called quadrilaterals in grade 4.
1. Polygons – a closed plane figure made up of several line segments
joined together
polygon
2. Sides – name of the lines segments composing the polygon, we
can name the sides with letters.
3. Vertex- the common point where in the sides meet.
N I
VERTEX SIDES
D A
POLYGONS
Learning Competency: visualizes, names, describes and
compares polygons with 5 or more sides.
(M5GE-IIIc-19, M5GE=IIId-20)
INTRODUCTION
CAN YOU RECALL?

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A. NAMING A POLYGON , ITS SIDES AND VERTICES
⮚ The capital letters assigned in each vertex
are used to name the sides of the polygon,
angles of the polygon and the polygon itself.
⮚ This is polygon LMNOPQ – we name the
polygon by identifying all its vertices in
consecutive order. ( we can also say it is polygon MNOPQL as
long as the vertices are arranged consecutively)
____ ____ ___ ___ ___ ___
⮚ There are 6 line segment namely LM, MN, NO,OP, PQ and QL.
⮚ There are six angles namely : ∠L, ∠M, ∠N, ∠O, ∠P, ∠Q, ∠L .
Study the image below for more example.
STUDY THIS

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B. Classification of Polygons according to number of sides
One way to compare and classify polygons is according to
their numbers of sides. Study the table below:
Number of sides Name of the Polygon
3 Triangle
4 Quadrilateral
5 Pentagon (penta means 5)
6 Hexagon (hexa means 6)
7 Heptagon (hepta means 7)
8 Octagon (octa means 8)
9 Nonagon (nona means 9)
10 Decagon ( deca means 10)
N n- gon
C. Classifying polygons according to their diagonals.
Diagonals – a line segment whose endpoints are 2 non-
consecutive vertices of the polygon.
diagonal Line segment(consecutive vertex)
Line segment
Diagonal
1. Convex polygon - a polygon that is the boundary of a convex
set. This means that the line segment between two points of the
polygon is contained in the union of the interior and the
boundary of the polygon. Meaning when I try to connect its
different vertex the diagonals are inside the polygon.
All diagonals
are inside the
pentagon

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2. Non- convex Polygon or concave
A polygon that has, an angle with a measure that is between 180
degrees and 360 degrees.
A polygon that has a diagonal outside the polygon
⮚ A polygon is a closed plain figure.
⮚ The sides of a polygon is called line segment.
⮚ The point where 2 line segment meets is called vertex.
⮚ We name a polygonby identifying all the vertices in consecutive order.
⮚ Convex have diagonals inside the polygon.
⮚ Non- convex or concave polygons have diagonals outside the polygon.
If I will connect V
and T to have a
diagonal it will be
outside the
polygon.
REMEMBERTHIS
PRACTICE EXERCISES

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A. Complete the table.
Draw diagonals of
the given figure.
(at least 3)
Names of
sides (all)
Names of
angles
(All)
Possible
names of the
polygons.
(at least 5)
Polygon type
(according to
number of
sides)
https://www.mathworksheets4kids.com/classifyingpolygons.php
Draw a polygon based on the given characteristics or properties.

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Characteristics Figure
Convex hexagon
Non- convex
quadrilateral
Diagonals of a non-
convex heptagon
Diagonals of a
convex nonagon

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KEY TO CORRECTIONS:
A.
Draw diagonals
of the given
figure.
(at least 3)
Names of
sides (all)
Names of
angles (All)
Possible names of the
polygons.
(at least 5)
Polygon type
(according to
number of
sides)
Answers may
vary
___ ___ ___
AE ED CD
___ ____
CB BA
∠A, ∠E, ∠D,
∠C
∠B
AEDCB, EDCBA
DCBAE, CBAED
BAEDC
Pentagon
___ ___ ___
GO OL LD
___ ___ ___
DE EN NG
∠G, ∠O, ∠L,
∠D, ∠E, ∠N
GOLDEN,OLDENG
LDENGO,DENGOL
ENGOLD,NGOLDE
Hexagon
___ ___ ___
JU UK KF
___ ___ ___
FL LO OX
___
XJ
∠J, ∠U, ∠K,
∠F, ∠L, ∠O,
∠X
JUKFLOX, UKFLOXJ
KFLOXJU, FLOXJUK
LOXJUKF, OXJUKFL
XJUKFLO
Heptagon
___ ___ ___
QU UA AD
___ ___ ___
DF FL LE
___ ___
EX XQ
∠Q, ∠U, ∠A,
∠D, ∠F, ∠L,
∠E, ∠X,
QUADFLEX, UADFLEXQ,
ADFLEXQU, DFLEXQUA
FLEXQUAD, LEXQUADF
EXQUADFL XQUADFLE
QUADFLEX, UADFLEXQ
Octagon
___ ___ ___
JA AR RO
___ ___ ___
OV VI IZ
___ ___ ___
ZE ED DJ
∠J, ∠,A, ∠R,
∠O, ∠V, ∠I,
∠Z, ∠E, ∠D
JAROVIZED, AROVIZEDJ
ROVIZEDJA, OVIZEDJAR
VIZEDJARO, IZEDJAROV,
ZEDJAROVI, EDJAROVIZ,
DJAROVIZE
Nonagon
B. Answers may vary