A triangle similar to given ΔABCwith sides equal to 34 of the sides of ΔABC is to be constructed as the given image. Arrange the following steps of construction in order: 1. Join B4C and raw a line through B3( the third point, 3 being smaller of 4 in34) parallel to B4C to intersect BC at C'. 2. Draw any ray BX making an acute angle with BC on the side opposite to the vertex A. 3. Locate 4(the greater of 3 and 4 in34) points B1,B2,B3 and B4 on BX so that BB1=B1B2=B2B3=B3B4 4. Draw a line through C' parallel to the line CA to intersect BA at A'.
Options:
A .  
1,2,3,4
B .  
4,3,2,1
C .  
2,3,1,4
D .  
2,1,3,4
Answer: Option C : C Steps to be followed to for the construction of a similar triangle of ΔABC is given below. 1. Draw any ray BX making an acute angle with BC on the side opposite to the vertex A. 2.Locate 4(the greater of 3 and 4 in34) points B1,B2,B3 and B4 on BX so that BB1=B1B2=B2B3=B3B4 3.Join B4C and draw a line through B3( the third point, 3 being smaller of 4 in34) parallel to B4C to intersect BC at C'. 4.Draw a line through C' parallel to the line CA to intersect BA at A'.
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