How to Draw a Square

Construct a right angle (let's name it LMN) as described here., Place spike of the compass on the vertex of the right angle constructed in the previous step, i.e., Place the spike of the compass on point Q and draw an arc somewhere below the arm MN...

5 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Construct a right angle (let's name it LMN) as described here.

    Ensure that each of the arms are longer than the desired side length of the square. , on the point M, and set the width of the compass equal to the desired side length of the square
    - this set width remains unchanged until the entire construction is completed.

    Draw an arc cutting the arm MN at some point (say P) Draw another arc to cut the arm LM at some point (say Q) ,,, The figure PMQR is a square.

    You may erase other unnecessary constructions if you so wish.
  2. Step 2: Place spike of the compass on the vertex of the right angle constructed in the previous step

  3. Step 3: Place the spike of the compass on point Q and draw an arc somewhere below the arm MN.

  4. Step 4: Place the spike of the compass on point P and draw another arc which cuts the arc drawn in the previous step at some point (say R).

  5. Step 5: Connect the points P and R and the points Q and R using a straightedge.

Detailed Guide

Ensure that each of the arms are longer than the desired side length of the square. , on the point M, and set the width of the compass equal to the desired side length of the square
- this set width remains unchanged until the entire construction is completed.

Draw an arc cutting the arm MN at some point (say P) Draw another arc to cut the arm LM at some point (say Q) ,,, The figure PMQR is a square.

You may erase other unnecessary constructions if you so wish.

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Amy Edwards

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