Question

Draw a line AB and take a point P outside it. Draw a line CD parallel to AB and passing through the point P.

Answer 1

$$\begin{gathered} \begin{array}{l}\text{Steps of construction:}\\ 1.\mathrm{Draw}\mathrm{a}\mathrm{line}\mathrm{AB}.\end{array} \\ \begin{array}{l}2.\text{Take a point Q on AB and a point P outside AB, and join PQ.}\\ \text{3. With Q as the centre and any radius, draw on arc to cut AB at X and PQ at Z.}\\ \text{4. With P as the centre and the same radius, draw an arc cutting QP at Y .}\\ \text{5. With Y as the centre and the radius equal to XZ, draw an arc to cut the previous arc at E.}\\ \text{6. Join PE and produce it on both the sides to get the required line}\text{.}\end{array} \end{gathered}$$