Question

Construct a square PQRS whose diagonal PR = 6 cm.​

Answer 1

Answer:

Given : Diagonal=6 cm.

Steps for construction

Step 1 : Draw the rough diagram and mark the given measures.

Step 2 : Draw a line segment AC=6 cm.

Step 3 : Construct a perpendicular bisector

XY

of

AC

.

Step 4 :

XY

intersects

AC

at O. We get OC=AO=3 cm.

Step 5 : With O as centre draw two arcs of radius 3 cm cutting the line

XYg

at points B and D.

Step 6 : Join

AB

,

BC

,

CD

and

DA

.

ABCD is the required square