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draw a polygon abcdefgh and name all the sides adjacent sides and vertices as well as the diagonals of the polygon
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Verified Answer
draw a polygon abcdefgh and name all the sides adjacent sides and vert...

To draw that we will just draw 8 line segments and join them just like showed in attached picture.
Sides of the polygon are:
{AB, BC, CD, DE, EF, FG, GH, HA}
Adjacent sides means sides attached to given side
Like adjacent side for AB are BC and AH
adjacent side for BC are CD and AB
adjacent side for CD are DE and BC
adjacent side for DE are EF and CD
adjacent side for EF are FG and DE
adjacent side for FG are GH and EF
adjacent side for GH are HA and FG
adjacent side for HA are AB and GH
Vertices are just the corner points. So there are 8 vertices namely {A, B, C, D, E, F, G, H }
Diagonals are the sides connecting vertices of the polygon except the sides.

{ AC, AD, AE, AF, AG,
BD, BE, BF, BG, BH,
CE, CF, CG, CH,
DF, DG, DH,
EG, EH,
FH }
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Most Upvoted Answer
draw a polygon abcdefgh and name all the sides adjacent sides and vert...
Introduction:
A polygon is a closed figure formed by connecting line segments called sides. In this case, the polygon is named ABCDEFGH. Let's explore the properties of this polygon and identify its sides, vertices, and diagonals.

Sides:
A polygon is made up of multiple line segments called sides. In the given polygon ABCDEFGH, we can identify the following sides:
- AB
- BC
- CD
- DE
- EF
- FG
- GH
- HA

Adjacent Sides:
Adjacent sides are the sides of a polygon that share a common vertex. In the given polygon ABCDEFGH, we can identify the following pairs of adjacent sides:
- AB and BC (share the common vertex B)
- BC and CD (share the common vertex C)
- CD and DE (share the common vertex D)
- DE and EF (share the common vertex E)
- EF and FG (share the common vertex F)
- FG and GH (share the common vertex G)
- GH and HA (share the common vertex H)
- HA and AB (share the common vertex A)

Vertices:
Vertices are the points where the sides of a polygon meet. In the given polygon ABCDEFGH, we can identify the following vertices:
- A
- B
- C
- D
- E
- F
- G
- H

Diagonals:
Diagonals are line segments that connect any two non-adjacent vertices of a polygon. In the given polygon ABCDEFGH, we can identify the following diagonals:
- AC (connects vertices A and C)
- BD (connects vertices B and D)
- CE (connects vertices C and E)
- DF (connects vertices D and F)
- EG (connects vertices E and G)
- FH (connects vertices F and H)
- GA (connects vertices G and A)
- HB (connects vertices H and B)

Conclusion:
In the polygon ABCDEFGH, we have identified the sides, adjacent sides, vertices, and diagonals. Understanding the properties of a polygon helps us analyze and solve various geometric problems related to it.
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draw a polygon abcdefgh and name all the sides adjacent sides and vertices as well as the diagonals of the polygon Related: NCERT Solutions (Part - 1) - Basic Geometrical Ideas?
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