Bisectrix of the rectangular coordinate system

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The bisectrix of the rectangular coordinate system refers to the line where x equals y in a two-dimensional space. This line serves as a diagonal that divides the coordinate plane into two equal halves. It is significant in geometry and algebra for understanding relationships between variables. The discussion seeks clarification on its meaning and context within mathematical applications. Understanding the bisectrix is essential for solving problems involving symmetry and linear equations.
cbor0023
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what does this mean please:

bisectrix of the rectangular coordinate system
 
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hi cbor0023! :smile:

i'll guess that it's the line x = y in a 2D system :redface: …

what is the context?​
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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