WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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4. Draw all the diagonals in each regular polygon. How many
diagonals does each polygon have
4 sides 5 sides 6 sides 7 sides
2 diagonals 5 diagonals 9 diagonals 14 diagonals
5. Use the polygons in Question 4. Test the following properties
of regular polygons. Decide whether each property is true or
false.
a) If the number of vertices is odd, the number of diagonals is
odd. false
b) If the number of vertices is even, the diagonals that
connect opposite vertices intersect at the centre. true
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c) The number of diagonals you C07-F76-AW12.ai
can draw from one vertex
of a regular polygon is n 2 3, where n is the number of
vertices. true
ReflecTinG
Use one part in
Question 5 where
you wrote “false”
for the answer.
Explain why it
is false.
6. Regular octagons are often used for the Chinese New Year.
The number 8 is associated with wealth and good luck.
2
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Figure Number
Figure Number
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MPS Company
Company
MPS
MPS
Technical
Technical
1st Pass pass a) Draw diagonals Pass
1st pass
1st pass to join pairs of opposite vertices in this
Approved
Approved
octagon. What is the measure of each angle where the
Not Approved
Not Approveddiagonals meet 3608 4 8 5 458
b) What type of triangle The perspective do the diagonals was deleted. make isosceles
c) Place one end of a compass at the centre. Place the other
end at a vertex. Draw a circle. What happens
The circle touches all the vertices.
ReflecTinG
Which properties
of regular
octagons are
shared by all
regular polygons
NEL
NEL
Chapter 7 Polygons 177
Chapter 7 Polygons
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