4.1 Regular Polygons

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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

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If \(n\) represents the number of sides of a polygon and \(P \) represents the number of axis of symmetry, complete the table below.

\(n\)	\(4\)	\(5\)
\(P\)

What are the values of \(P?\)

Difficulty Level: Medium

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The following statements show the unorder steps to draw a regular hexagon with a side of \(4\text{ cm}.\)

I.		Repeat the same step for points C, D, E and F.

II.		Construct a circle of radius \(4\text{ cm}\).

III.		With the distance of the compasses being the same as the radius, draw an arc from point A that intersects with the circumference and label it as B.

IV.		Join all the points to form a regular hexagon.

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

Difficulty Level: Medium

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Based on the information, what is the name of the polygon?

(A)		Pentagon

(B)		Octagon

(C)		Hexagon with sides of \(4\text{ cm}\)

(D)		Heptagon with sides of \(4\text{ cm}\)

Difficulty Level: Medium

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I: Repeat the same step for points C,D, E and F.

II: Construct a circle of radius

III: With the distance of the compasses same as the radius, draw an arc from point A that intersects with the circumference and label as B.

IV: Join all the points to form a regular hexagon.

Which of the following is the correct order to draw a regular hexagon of a radius \(4\text{ cm}?\)

(A)		\(\text{II,}\space\text{III,}\space\text{I,}\space \text{IV}\)

(B)		\(\text{II,}\space\text{I,}\space\text{III,}\space \text{IV}\)

(C)		\(\text{III,}\space\text{II,}\space\text{I,}\space \text{IV}\)

(D)		\(\text{III,}\space\text{I,}\space\text{II,}\space \text{IV}\)

Difficulty Level: Medium