question_answer

Arrange the following steps of construction for constructing a \[\Delta \text{ }ABC\]in which \[AB=4\text{ }cm,\]\[\angle B={{60}^{o}}\] and altitude \[CL=3\text{ }cm\]and then construct \[\Delta \text{ }ADE\]similar to \[\Delta ABC\]such that each side of \[\Delta ADE\] is \[\frac{3}{2}\] times that of the corresponding side of \[\Delta ABC\] Steps of Construction       

Step I: Join CA. Thus, \[\Delta ABC\] is      obtained.

Step II: Draw \[DE||BC,\]cutting AC produced at E.

Step III: Extend AB to D such that \[AD=\frac{3}{2}AB=\left( \frac{3}{2}\times 4 \right)cm=6cm.\]

Step IV: Draw a line segment AB = 4 cm.

Step V: Draw a line \[GH||AB\]at a distance of 3 cm, intersecting BP at C.

Step VI: Construct \[\angle ABP={{60}^{o}}~\]

A)  IV,       VI,        V,         I,          III,        II              

B)  IV,       V,         VI,        I,          Ill,         II              

C)  IV,       V,         I,          III,        II,         VI             

D)  V,        IV,        VI,        III,        I,          II