Question

Arrange the following steps in correct order in constructing a square whose one diagonal is \[5cm\].
Step 1: Let PQ cut AC at O.
Step 2: Draw a diagonal AC = \[5cm\].
Step 3: Join AB, BC, CD and DA. Then ABCD is the required square.
Step 4: Draw PQ the perpendicular bisector of AC.
Step 5: With O as center and OA radius draw a circle. Let the circle cut QP at points B and D.
$A)2,1,4,5,3$
$B)2,5,4,1,3$
$C)2,4,5,1,3$
$D)2,4,1,5,3$

Answer 1

Hint: First we have to define what the terms we need to solve the problem are.
Since from the given set of questions we need to construct an arrangement of the square using a diagonal given point is the only known value; also, if we need to draw a square first, we need to draw a diagonal point and then only we can able to construct the given set of arrangements

Complete step by step answer:
First, we need to draw anything so then only we can able to proceed further and in the five steps given above has two basics are draw at first and in that draw a diagonal is the given and know value
Hence first draw a diagonal AC = \[5cm\].(step 2 is the first arrangement)
Similarly, now after the diagonal is drawn; we now draw a PQ the perpendicular with the bisector of AC. So that only using the perpendicular and diagonal points we can able to draw a square; (step four is the second arrangement) now from the given PQ cut AC at O. (internally cutting the axis) (step one is at the arrayments of third) and then forth part of arrangement is With O as center and OA radius drawing the circle. And let the circle cut QP at points B and D. (fourth arrangement) so that we are able to cut QP points.
Hence finally balance one is the step three also the fifth arrangement joins all the parts by joining AB, BC, CD and DA. Then ABCD is the required square.

So, the correct answer is “Option D”.

Note: since if any of the arrangement process done with the mistakes like options; $A)2,1,4,5,3$,$B)2,5,4,1,3$,$C)2,4,5,1,3$ we cannot able to obtain a square; like if the first arrangement if one then without diagonal we cannot start drawing.