Regular and Irregular Polygons Worksheet
Explore the properties of regular and irregular polygons with this worksheet, covering definitions, angle calculations, and identification.
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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, but angles may differ.
All angles are equal, but sides may differ.
All sides and all angles are equal.
It has at least one pair of parallel sides.
2. An irregular polygon:
Always has all sides of different lengths.
Can have some equal sides and angles, but not all.
Is always a concave polygon.
Must have at least one interior angle greater than 180°.
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 all sides equal but not all angles equal is considered an polygon.
6. Calculate the measure of each interior angle of a regular octagon. Show your work.
7. A quadrilateral has interior angles measuring 90°, 110°, 80°, and x. Is this an irregular quadrilateral? Explain your reasoning and find the value of x.
8. For each polygon shown below, state whether it is regular or irregular.
9. All squares are regular polygons.
True
False
10. An equilateral triangle is always a regular polygon.
True
False