Short Answer TypeExamine the table. (Each figure is divided into triangles and the sum of the angles deduced from that).
|
Figure |
|
|
|
|
|
Side |
3 |
4 |
5 |
6 |
|
Angle sum |
180° |
2 x 180° = (4 - 2) x 180° |
3 x 180° = (5 - 2) x 180° |
4 x 180° = (6 - 2) x 180° |
What can you say about the angle sum of a convex polygon with number of sides?
n
What is a regular polygon?
State the name of a regular polygon of
(i) 3 sides (ii) 4 sides (iii) 6 sides
A polygon is said to be a regularpolygon if
(a) The measures of its interior angels are equal, and
(b) The lengths of its sides are equal.
The name of a regular polygon having
(i) 3 sides is ‘equilateral-triangle’
(ii) 4 sides is ‘square’
(iii) 6 sides is ‘regular hexagon’
Long Answer TypeShort Answer TypeTake a regular hexagon as shown in the figures:
What is the sum of the measures of its exterior angles x, y, z, p, q, r?
Take a regular hexagon as shown in the figures:
What is the measure of each? (i) exterior angle
Take a regular hexagon as shown in the figures:
What is the measure of each? (ii) interior angle
Take a regular hexagon as shown in the figures:
Repeat this activity for the cases of (ii) a regular 20-gon
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