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Construct a square with a side of 6 cm.
Given :
The given side of the square is 6 cm.
To do :
We have to construct a square with a side of 6 cm.
Solution :
To construct a square of side 6 cm using a compass and a ruler:
The steps for construction of a square are as follows:
Step 1: Draw a line segment AB of 6 cm.
Step 2: Extend the line AB and using a compass, mark two arcs from B on the line. Mark the points as X and Y.
Step 3: Mark arcs from point X and Y above the line. Name the point Z where arcs meet.
Step 4: Join the point B and Z.
Step 5: Set the compass to the radius of 6 cm and mark the arc from points A and B. The point where the arc intersects BZ is the vertex C of the square.
Step 6: With the same radius of 6 cm on the compass, mark an arc from point C on the previously drawn arc above point A.
Mark the point of intersection as D.
Step 7: Join the points C and D as well as A and D to get the required square ABCD.