Polygons Quiz
5 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the sum of the interior angles of a polygon with 10 sides?

  • 1080 degrees
  • 900 degrees
  • 720 degrees
  • 1440 degrees (correct)

Which type of polygon has all sides of equal length and all angles of equal measure?

  • Irregular polygon
  • Scalene polygon
  • Convex polygon
  • Regular polygon (correct)

What characteristic defines a concave polygon?

  • All sides are of different lengths.
  • It has at least one interior angle greater than 180 degrees. (correct)
  • All vertices point outward.
  • All angles are less than 180 degrees.

Which of the following formulas is used to calculate the area of a regular polygon?

<p>Area = 1/2 * perimeter * apothem (B)</p> Signup and view all the answers

What is the minimum number of sides a polygon must have?

<p>3 (D)</p> Signup and view all the answers

Study Notes

Interior Angles of a Polygon

  • The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.
  • For a polygon with 10 sides, the sum is (10 - 2) × 180° = 8 × 180° = 1440°.

Regular Polygon Characteristics

  • A regular polygon has all sides of equal length and all angles of equal measure, making it both equilateral and equiangular.

Concave Polygon Definition

  • A concave polygon is defined by at least one interior angle that measures greater than 180°. This feature causes the shape to "cave in" towards the interior.

Area Calculation for Regular Polygons

  • The area of a regular polygon can be calculated using various formulas, commonly: Area = (1/2) × Perimeter × Apothem or Area = (n × s^2) / (4 × tan(Ï€/n)), where s is the length of a side.

Minimum Polygon Sides

  • A polygon must have a minimum of three sides to be classified as such; shapes with fewer than three sides do not enclose a space.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Test your knowledge about polygons with this quiz! You will explore questions regarding the sum of interior angles, types of polygons, and formulas for calculating their area. Perfect for students learning about geometry.

More Like This

Polygon Properties Quiz
5 questions
Polygon Properties Quiz
10 questions

Polygon Properties Quiz

InstrumentalMotif avatar
InstrumentalMotif
Polygon Definition and Properties
40 questions
Polygon Parts and Properties
5 questions
Use Quizgecko on...
Browser
Browser