The figure formed by joining the mid-points of the sides of a quadrilateral   ABCD, taken in order, is a square only if,

To determine if the figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square, we can follow these steps:

Step 1: Draw the quadrilateral ABCD.

Step 2: Locate the mid-points of each side of the quadrilateral. These mid-points will be denoted as E, F, G, and H, where E is the mid-point of AB, F is the mid-point of BC, G is the mid-point of CD, and H is the mid-point of DA.

Step 3: Join the mid-points in order, forming a new quadrilateral EFGH.

Step 4: Measure the lengths of the sides of the new quadrilateral EFGH.

Step 5: If all the sides of EFGH are equal in length, then the figure formed by joining the mid-points of the sides of quadrilateral ABCD is a square.

Step 6: If any of the sides of EFGH are not equal in length, then the figure is not a square.

By following these steps, we can determine whether the figure formed by joining the mid-points of the sides of quadrilateral ABCD is a square or not.