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5 ways to divide a square into 4 equal parts?

Updated: 4/28/2022
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Dundubiswana

Lvl 1
14y ago

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Angie Heaney

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3y ago
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Wiki User

14y ago

Let the sides of the square be AB, BC, CD and DA and the corners be a, b, c and d.

1) Draw a line from the midpoint of AB to the midpoint of CD, and another line from the midpoint of BC to the midpoint of DA.

2) Draw a line from b to d and another from a to c.

3) Divide AB into 4 equal portions. Draw lines parallel to BC.

4) Draw lines from a, d and the midpoint of DA to the midpoint of BC.

5) Draw lines from the midpoint of each side to the midpoint of the two adjacent sides, and a final line from the midpoint of DA to the midpoint of BC. In this case two corner triangles from the top half have to be combined to equal the central triangle - and this is repeated with the lower half of the square.

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Q: 5 ways to divide a square into 4 equal parts?
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