Answer:
10.)Regular polygon
11.)Irregular polygon
12.)Regular polygon
13.)Regular polygon
Step-by-step explanation:
Regular polygon:
A polygon which has all its sides of equal length and all its angles of equal measures is called a regular polygon.
Examples of regular polygon:
In the adjoining figure of an equilateral triangle ABC there are three sides i.e., AB, BC and CA are equal and there are three angles i.e., ∠ABC, ∠BCA and ∠CAB are equal.
Therefore, an equilateral triangle is a regular polygon.
Regular Polygon Equilateral Triangle
In the adjoining figure of a square ABCD there are four sides i.e., AB, BC, CD and DA are equal and there are four angles i.e., ∠ABC, ∠BCD, ∠CDA and ∠DAB are equal.
Therefore, a square is a regular polygon.
Regular Polygon Square
In the adjoining figure of a regular pentagon ABCDE there are five sides i.e., AB, BC, CD, DE and EA are equal and there are five angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB are equal.
Therefore, a regular pentagon is a regular polygon.
Irregular polygon:
A polygon which has all its sides of unequal length and all its angles of unequal measures is called an irregular polygon.
Examples of irregular polygon:
In the adjoining figure of a scalene triangle ABC there are three sides i.e., AB, BC and CA are unequal and there are three angles i.e., ∠ABC, ∠BCA and ∠CAB are unequal.
Therefore, a scalene triangle is an irregular polygon.
Irregular Polygon Scalene Triangle
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In the adjoining figure of a rectangle ABCD there are four sides i.e., AB, BC, CD and DA where the opposite sides are equal i.e., AB = CD and BC = AD. So, all the sides are not equal to each other.
Similarly, among the four angles i.e., ∠ABC, ∠BCD, ∠CDA and ∠DAB where the opposite angles are equal i.e., ∠ABC = ∠CDA and ∠BCD = ∠DAB. So, all the angles are not equal to each other.
Therefore, a square is an irregular polygon.
Irregular Polygon Rectangle
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In the adjoining figure of an irregular hexagon ABCDEF there are six sides i.e., AB, BC, CD, DE, EF and FA are equal and there are six angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB are equal.
Therefore, an irregular hexagon is an irregular polygon.
Irregular Polygon Irregular Hexagon
