Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Is the given figure a convex polygon, a non-convex polygon or neither?

Short Answer

Expert verified

The given figure is a non-convex polygon.

Step by step solution

01

Step 1. Definition of convex polygon.

A polygon is a closed figure formed by joining the line segments such that each line segment intersects with only two other line segments, one at each endpoint.

A figure is said to be convex polygon if:

All the interior angles of the polygon are less than 180°and all the diagonals drawn lies in the interior of the polygon.

02

Step 2. Observe the given diagram.

The given figure is:

03

Step 3. State whether the given figure is a convex polygon, non-convex polygon or neither.

The given figure is a non-convex polygon because all the interior angles of the polygon are not less than 180°and all the diagonals drawn do not lie in the interior of the polygon.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free