March 10th, 2018, 09:31 AM  #1 
Banned Camp Joined: Dec 2017 From: Tel Aviv Posts: 87 Thanks: 3  Rhombus
In the picture: http://img2.timg.co.il/forums/47/128...fa71d339c6.png There is a rhombus, A is an angle of the rhombus. A. What will happen if A become a acute angle? B. How I know that A is obtuse angle? C. What will happen if A become a right angle? Thank for solving this. 
March 10th, 2018, 10:25 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,767 Thanks: 1422  Quote:
b. looks like $90^\circ < \angle{A} < 180^\circ$ in the diagram c. the rhombus will become a square  
March 10th, 2018, 11:10 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,545 Thanks: 1752 
Let's also consider the same questions for a parallelogram ABCD, with internal angles A, B, C and D. (A). If A becomes an acute angle and ABCD remains a parallelogram, B becomes an obtuse angle. (B). You don't know that B is an obtuse angle. If, however, angle A is greater than angle B, angle A must be obtuse. (C). If A becomes a right angle and ABCD remains a parallelogram, ABCD will have become a rectangle as well, and angles B, C and D will also have become right angles. 

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