Question

Arrange the steps marked (i) to (v) in CORRECT order while constructing a line parallel to a given line, through a point not on the line using ruler and compasses only.
Step 1. Take a line 'I' and a point 'A' outside 'l'.
Step 2. Take any point B on I and join B to A.
(i) Now with A as centre and the same radius as in previous step, draw an arc EF cutting AB at G.
(ii) With the same opening as in previous step and with G as centre, draw an arc cutting the arc EF at H.
(iii) With B as centre and a convenient radius, draw an arc cutting I at C and BA at D.
(iv) Now, join AH to draw a line 'm'.

• A. (i) $\to$ (ii) $\to$ (iv) $\to$ (iii)
• B. (iii) $\to$ (i) $\to$ (ii) $\to$ (iv)
• C. (iii) $\to$ (ii) $\to$ (i) $\to$ (iv)
• D. (i) $\to$ (ii) $\to$ (iii) $\to$ (iv)

Answer 1

The correct option is B (iii) $\to$ (i) $\to$ (ii) $\to$ (iv)

To make a line parallel to other using only compass and rule.

$I.$ Draw a line through the given point.

$II.$ Make an arc from $X$ and same through $R$.

$III.$ Then take distance ${}^{\prime }{l}^{\prime }$ on a compass and cut arc at a point $R$.

$IV.$ Where it cuts an arc through $R$, draw the line through $R$ and $X$.

As shown above.