To divide a square in half four different ways, you can draw two diagonals intersecting at the center, creating four equal triangles. Another way is to draw a horizontal line passing through the center of the square, dividing it into two equal rectangles. You can also draw a vertical line through the center to create two more equal rectangles. Lastly, you can divide the square into four smaller squares by drawing two perpendicular lines through the center.
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You can divide the square from a point halfway between two of the corners to a similar point on the opposite side, to produce to rectangles. You can do this vertically or horizontally, but the result is the same. The second method is to divide the square from one corner to the corner directly opposite to it, in effect dividing the square into two triangles.
divide a square into eighths
How many ways can you cut a square in half. Cut along either diagonal Fold the square in half vertically or horizontally 4 axes of symettry
This can be done in infinitely many ways, if you don't insist that all the pieces have the same shape.
An infinite number of ways. Cut along a line from anywhere on a side to the centre of the square. Make three more cuts, at 90, 180 and 270 degrees to the first at the centre. Each point on a side of the square will give rise to a different set of four identical pieces of the square. And there are an infinite number of points on the side of the square. So an infinite number of answers to the question.