Regular and Irregular Polygons Worksheet
Understand and identify regular and irregular polygons, their properties, and angle calculations.
Includes
Standards
Topics
Regular and Irregular Polygons
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. Which of the following statements is true for a regular polygon?
All sides are equal in length, but angles may differ.
All angles are equal in measure, but sides may differ.
All sides are equal in length, and all angles are equal in measure.
It must have at least one right angle.
2. An irregular polygon is defined by:
Having all sides equal.
Having all angles equal.
Sides and angles are not all equal.
Having at least five sides.
3. A polygon with all equal sides and all equal angles is called a polygon.
4. The sum of the interior angles of a polygon with 'n' sides is given by the formula (n - 2) * degrees.
5. A polygon that is not regular is called an polygon.
6. All squares are regular polygons.
True
False
7. A rectangle is always a regular polygon.
True
False
8. Draw an example of a regular hexagon and label its sides and angles.
9. Draw an example of an irregular quadrilateral and explain why it is irregular.
10. A regular octagon has sides of length 7 cm. Calculate the sum of its interior angles and the measure of each interior angle.
11. Explain the key differences between a regular polygon and an irregular polygon, providing examples of each.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.