Can two non-congruent quadrilaterals have the same four sides and same four angles?
Give an example or prove the task is never possible.
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
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Posted by broll
on 2022-07-26 23:59:28 |