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How To Draw A Square With A Compass

How to construct a square

Here is how to construct a square using a straightedge, a compass, and of class a pen or a pencil.

Step one

Draw a segment and call it AB.

How to construct a square: step 1

Step 2

Construct a line perpendicular to segment AB and allow I be the point where the perpendicular line intersects segment AB. Review the lesson about amalgam perpendiculars if needed.

How to construct a square: step 2

Step 3

Fix your compass to the length of IB. Then, copy segment IB onto the perpendicular line (shown with the blue line). Label the new bespeak on the perpendicular line C.

How to construct a square: step 3

Step 4

Set your compass again to the length of IB and draw arcs from bespeak C and from point B. Label the point of intersection betwixt the two new arcs D.

How to construct a square: step 4

Pace 5

Using a straightedge, depict segment CD and segment BD. You have just constructed the square ICDB shown with three blue segments and i blackness segment.

How to construct a square: step 5

How to construct a square : Method #2

Step #one: Using a straightedge, draw a segment AB with a length of your choice.

Construct a square

Stride #two: Using a compass, mensurate the length of segment AB. Keeping the opening of your compass the same, put the needle of the compass at signal A and depict a circle. The length of the radius of the circle will be equal to the length of segment AB.

Then, nonetheless keeping the opening of your compass the same, put the needle of the compass at bespeak B and draw another circle. Subsequently you are done cartoon both circles, you should cease upwardly with the effigy below. Finally, label the point where the two circles meet I.

Construct a square

Step #iii: Then, draw segment IE then draw segment EJ as shown below.

Construct a square

Step #four: Draw segment IJ so using your compass, measure the length of segment IJ.

Construct a square

Step #5: Still using the same compass opening in footstep #four, put the needle of the compass at I and describe a small arc. Label the arc Thou. So, nonetheless using the same compass opening in stride #4, put the needle of the compass at point J and draw a small arc. Label the arc F.

Construct a square

Pace #six: Finally, connect the points I, J, F, and M. You have but constructed a square using only a straightedge and a compass.

The effigy below shows the square in light orange.

Construct a square

Source: https://www.basic-mathematics.com/how-to-construct-a-square.html

Posted by: inmansomper.blogspot.com

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