Question

A $\Delta ABC$ with AB = 6cm, $\angle A={30}^{\circ }$ and $\angle B={60}^{\circ }$ is given below. The image of construction of $\Delta A{B}^{\prime }{C}^{\prime }$ similar to $\Delta ABC$ with base AB' = 8cm is given below.


Arrange the steps of construction in the correct order.
1. Draw B'C' parallel to BC such that $\angle CBA=\angle C^{\prime }{B}^{\prime }A.$
2. Draw $\Delta ABC$ as per the given specification.
3. Extend AC to B'C' so that it meets B'C' at C'.
4. Extend AB to B' such that AB' = 8cm.

• A. 2, 4, 1, 3
• B. 2, 1, 3, 4
• C. 1, 3, 2, 4
• D. 1, 4, 2, 3

Answer 1

The correct option is A 2, 4, 1, 3

1. Draw $\Delta ABC$ as per the given specification.
2. Extend AB to B' such that AB'=8cm
3. Draw B'C' parallel to BC such that $\angle CBA=\angle C^{\prime }{B}^{\prime }A$
4. Extend AC to B'C' so that it meets B'C' at C'.
Thus, we get,