4.1 Regular Polygons

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The diagram shows the steps to draw a regular hexagon.

Which of the following is the correct order to draw the hexagon?

Difficulty Level: Easy

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Which of the following is the correct order of steps to draw the regular octagon?

I.		Draw an isosceles triangle, \(OAB\) with \(\angle O=45^\circ,\angle A=\angle B=67.5^\circ. \)
		\(\angle O \) is the angle at the centre of the circle.
		\(\left(\dfrac{360^\circ}{8}=45^\circ\right)\)

II.		Draw a circle with centre \(O\) with the circumference passing through points \(A\) and \(B\) and divide the circle into \(8\) equal sectors.

III.		Connect all the intersecting points of the radii with the circumference of the circle to get a regular octagon \(ABCDEFGH.\)

IV.		Draw a straight line \(AB\) with \(1\text{ cm}\) length

Difficulty Level: Hard

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The diagram shows a hexagon.

How many axes of symmetry does the regular hexagon have?

Difficulty Level: Easy

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Which of the following is the correct steps to draw a square with sides \(4\text{ cm}?\)

Difficulty Level: Medium

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What is the meaning of a regular polygon?

A polygon with all sides of the different lengths and all interior angles are in the same size
A polygon with all sides of the same length and all interior angles are in the different size
A polygon with all sides of the same length and some interior angles are in the same size
A polygon with all sides of the same length and all interior angles are in the same size

Difficulty Level: Medium