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Diagonally opposite angles of a rectangle or square is one example.
The 'long' diagonals are those two that run from one corner square diagonally across the board to the square in the opposite corner. They are the diagonals a1-h8 & h1-a8.
Move two adjacent coins, leaving the other pair of adjacent coins untouched. Place them on opposite sides of the unmoved pair, so that they become diagonally opposite corners of the new square.
There are an infinite number of points on two adjacent sides of a square which can be joined to the diagonally opposite point, so there is an infinite number of ways of halving a square.
A right-angle triangle is half of a square or rectangle. Draw a square or rectangle and draw a line from one corner to the corner diagonally opposite. You now have two triangles of the same area.
Its a right-angle triangle
there are four, one vertical, one horizontal, one diagonally right and one diagonally left :)
No more unusual than the right isosceles triangle, which is a diagonally-bisected square.
Only in the case of the square (squares are rectangles).
A square or rectangle.
You cut it diagonally from each corner.