Scroll:Practical geometry >> circumcircle. >> saq (4173)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Draw the ciriumcircle for an equilateral triangle of side 6cm.


Answer:_______________




2)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


Answer:_______________




3)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


Answer:_______________




4)  

 Construct ►PQR with PQ = 5cm ∠p = 100 ° and PR = 5 and draw its circumcircle.
 


Answer:_______________




5)  

 Draw the ciriumcircle for an equilateral triangle of side 6cm.


Answer:_______________




6)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


Answer:_______________




7)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


Answer:_______________




8)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


Answer:_______________




9)  

 Construct ►PQR with PQ = 5cm ∠p = 100 ° and PR = 5 and draw its circumcircle.
 


Answer:_______________




10)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


Answer:_______________




 

1)  

 Draw the ciriumcircle for an equilateral triangle of side 6cm.


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.



Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.


 



Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.


 





2)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.


 



 



Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.


 



 



Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.


 




3)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.


 



 



Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.


 



 



Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.


 




4)  

 Construct ►PQR with PQ = 5cm ∠p = 100 ° and PR = 5 and draw its circumcircle.
 


SOLUTION 1 :

strp1 : draw the â–ºPQR with the given measurements.

step2 : construct the perpendicular bisectors of PQ and PR and let them meet at S

            which is the circumcentre.

step3 : with S as center and SP = SQ = SR as radius, draw the circumcircle

            to pass through P,Q and R



5)  

 Draw the ciriumcircle for an equilateral triangle of side 6cm.


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.



Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.


 



Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.


 





6)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.

 

 

 

 

 

Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.

 

 

 

 

 

Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.



7)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.

 

 

 

 

 

Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.

 

 

 

 

 

Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.



8)  

 Draw the isosceles  right triangle 5cm as the length of the equal sides.


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.

 

 

 

 

 

Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.

 

 

 

 

 

Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.



9)  

 Construct ►PQR with PQ = 5cm ∠p = 100 ° and PR = 5 and draw its circumcircle.
 


SOLUTION 1 :

strp1 : draw the â–ºPQR with the given measurements.

step2 : construct the perpendicular bisectors of PQ and PR and let them meet at S

            which is the circumcentre.

step3 : with S as center and SP = SQ = SR as radius, draw the circumcircle

            to pass through P,Q and R



10)  

 Draw the ►ABC , where AB = 7cm, BC = 8 cm and ∠B = 60 ° and locate its circumcentre.
 


SOLUTION 1 :

Step 1: Draw the D ABC with the given measurements.


 



 



Step 2:  Construct the perpendicular bisectors of AC and BC and let them meet at S which is the circumcentre.


 



 



Step 3: With S  as centre  and SA = SB = SC as radius, draw  the circumcircle to pass through A,B and C.