All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Pair of quadrilaterals (Posted on 2022-07-21) Difficulty: 4 of 5
Can two non-congruent quadrilaterals have the same four sides and same four angles?

Give an example or prove the task is never possible.

No Solution Yet Submitted by Jer    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Possible Solution | Comment 2 of 4 |
Name the two quadrilaterals A and B.  They can be convex.

Let A have sides a,b,c,d - all unequal - reading clockwise, with the angle between a and b equal to p, then q,r,s - all unequal - also reading clockwise.

In like manner, let B have sides a,d,b,c, and angles q,p,r,s.

Same sides, same angles, not congruent.

Edited on July 26, 2022, 11:59 pm
  Posted by broll on 2022-07-26 23:59:28

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information