Some of them but not all.
For example, uniqueness.
The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.
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A rectangular prism. If every edge is the same length, then it is a cube.
It is the same word, same spelling but pronounced like -tree-on-glaHope this helps.
For ease of writing, every time I say lim I mean the limit of _____ as x approaches zero. Lim sin3xsin5x/x^2=lim{[3sin(3x)/(3x)][5sin(5x)/(5x)]}. One property of limits is that lim sin(something)/(that same something)=1. So we now have lim{[3(1)][5(1)]}=15. lim=15
An isosceles triangle has two sides the same length. An equilateral has all 3 sides the same length. A scalene triangle doesn't have any sides that are the same length.
A truse is an agreement to give up at the same time. The incorrect spelling of truce - which is an agreement to give up at the same time.