How to constructed a square polygon

Construct a square of side length 4 cm

Step-by-step explanation:

* Lets explain how to construct a square polygon with side length 4 cm

- Use your straightedge to draw a horizontal line

- Measure on the horizontal line a segment of 4 cm

- Label its endpoints by A and B (AB = 4 cm)

- Open your compass at a distance greater then half AB (3 cm)

- Put the pin of the compass at point B and draw an arc intersects AB

 at point E and the horizontal line at point F

- Open the compass at a distance greater than the length of the side

 of the square (6 cm) and put its pin on the point E and draw an arc

- Put the pin of the compass on the point F without changing the open

 of the compass and draw another arc

- The two arcs intersect each other at point G

- Join BG and measure 4 cm from point B and label the end point of

 the 4 cm by C

- Open your compass at a distance 4 cm and put the pin on point C

 and draw an arc and put it on point A with the same distance 4 cm

 and draw another arc, the two arc intersect each other at point D

∴ ABCD is a square of side length 4 cm

# Look to the attached figure to more understand

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