Home / Worksheets / Grade 12 / Math / Regular and Irregular Polygons

Regular and Irregular Polygons

Explore the properties and characteristics of regular and irregular polygons, including their angles, sides, and symmetry.

Grade 12 Math GeometryRegular and Irregular Polygons
Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustomMatchingLong Answer

Standards

CCSS.MATH.CONTENT.HSG.CO.A.1CCSS.MATH.CONTENT.HSG.SRT.A.1CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

geometrypolygonsregular polygonsirregular polygonsgrade 12
9 sections · Free to use · Printable
← More Math worksheets for Grade 12

Regular and Irregular Polygons

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following statements is true regarding a regular polygon?

a

All sides are equal, but angles may vary.

b

All angles are equal, but sides may vary.

c

All sides and all angles are equal.

d

It must have at least one obtuse angle.

2. An irregular polygon is a polygon that does not have all sides   and all angles  .

3. The sum of the interior angles of a polygon with 'n' sides can be calculated using the formula:  .

4. A polygon has 7 sides. Is it possible for this polygon to be irregular? Justify your answer.

5. All quadrilaterals are regular polygons.

T

True

F

False

6. Consider the irregular hexagon shown below. Calculate the sum of its interior angles.

Match each polygon type with its description.

7. Equilateral Triangle

 

a. All sides and angles are equal.

8. Scalene Triangle

 

b. All sides have different lengths.

9. Rectangle

 

c. Opposite sides are equal, all angles are 90 degrees.

10. Describe the key differences between regular and irregular polygons, providing examples of each. Discuss how their properties, such as symmetry and angle measures, vary.