Exploring Regular and Irregular Polygons
A Grade 11 math worksheet covering the properties, classification, and angle calculations of regular and irregular polygons.
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Exploring Regular and Irregular Polygons
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Read each question carefully and answer to the best of your ability. Show all your work for calculations.
1. Which of the following statements is true for a regular polygon?
All sides are equal in length, but angles may vary.
All angles are equal in measure, but side lengths may vary.
All sides are equal in length and all angles are equal in measure.
It has at least one pair of parallel sides.
2. An irregular polygon is defined by:
All sides and angles being equal.
Sides of different lengths but equal angles.
Angles of different measures but equal sides.
At least one side or one angle different from the others.
3. The sum of the interior angles of a polygon with 'n' sides is given by the formula .
4. Each interior angle of a regular n-sided polygon can be calculated using the formula .
5. A polygon with 7 sides is called a .
6. Calculate the sum of the interior angles of a regular dodecagon (12-sided polygon).
7. If each interior angle of a regular polygon measures 144°, how many sides does the polygon have?
8. Consider the irregular quadrilateral below. Find the measure of the unknown angle 'x'.
9. Draw a regular pentagon and label all interior and exterior angles. Calculate the measure of each.
10. A square is an example of both a regular polygon and a quadrilateral.
True
False
11. All rhombuses are regular polygons.
True
False
12. Explain why a circle is not considered a polygon.
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