Question

draw a square with one side of 5.0 cm

Answer 1

Side = 5 cm 
Since we know that all sides of square are equal in length, so we get: 
PQ = QR = RS = SP = 5 cm each 

Also, we know that in a square all vertices form 90 degree angle, so we get 
Angle A + Angle B + Angle C + Angle D = 90 degree each 

Steps of construction are as follows: 

Step 1: Draw a line segment PQ of 5 cm (as shown below) 

 

Step 2: With the help of compass draw 90 degree angle at P (as shown below) 
(To study how to construct 90 degree angle with the help of compass

 

Step 3: With the help of compass draw 90 degree angle at Q (as shown below) 
(To study how to construct 90 degree angle with the help of compass 

 

Step 4: Use compass and 5 cm wide open. With P as center, draw an arc; which cuts arms of 90 degree angle. And mark point of intersection as S. (as shown below): 

 

Step 5: Use ruler and measure length of SP. Length of SP should be 5 cm and we get: 

 

Step 6: Again Use compass and 5 cm wide open. With Q as center, draw an arc; which cuts arms of 90 degree angle. And mark point of intersection as R. (as shown below): 

 

Step 7: Use ruler and measure length of RQ. Length of RQ should be 5 cm and we get: 

 

Step 8: Join points S & R (as shown below) 

 

Step 9: Use ruler and measure length of SR. Length of SR should be 5 cm and we get resultant square PQRS:



Answer 2

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