Draw a polygon abcdefgh and name all the sides, adjacent sides and vertices as well as the diagonals of the polygon.
Answers
Question says to draw a polygon abcdefgh and name all the sides, adjacent sides and vertices as well as the diagonals of the polygon.
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 }
Step-by-step explanation:
sides are AB,BC,CD,DE,EF,FG,GH
adjacent sides for AB are BC and AH
adjacent sides for BC are CD And