Construct a square ABCD,length of whose one side is 4 cm.
I assume you know how to construct a line perpendicular to a given line.
On line AB, mark off 4 units. Construct a perpendicular at those endpoints.
Mark off the same 4 units on each perpendicular. Label those points C and D.
Connect C and D for the 4th side
To construct a square ABCD with a side length of 4 cm, follow these steps:
Step 1: Start by drawing a straight line segment AB of length 4 cm. This will represent one side of the square.
Step 2: Using a compass, place the pointed end at point A and extend the other end to draw an arc that intersects the line AB.
Step 3: Without changing the compass width, place the pointed end at point B and draw another arc that intersects the previous arc.
Step 4: Label the point of intersection of the arcs as point C.
Step 5: Draw a line segment CD parallel to AB, and equal in length to AB, starting from point C.
Step 6: Draw a line segment DA parallel to BC, and equal in length to BC, starting from point D.
Step 7: Connect the points A, B, C, and D to form a closed square shape.
Now you have successfully constructed a square ABCD with a side length of 4 cm.