Subject Experts Solutions for Chapter: Practical Geometry, Exercise 3: Let Us Try 11.1

The steps to construct a line $m$ parallel to a given line $l$, passing through a point A above line $l$, are given below in a jumbled order. Arrange the steps in the correct order.

$\left(\mathrm{a}\right)$ Mark a point $B$ on line $l$.

$\left(\mathrm{b}\right)$ Draw a line segment joining $A$ and $B$.

$\left(\mathrm{c}\right)$ Draw a line $l$ and mark a point $A$ which does not lie on $l$.

$\left(\mathrm{d}\right)$ With $B$ as the centre and a convenient radius, draw an arc intersecting line $l$ at $D$ and $AB$ at $E$.

$\left(\mathrm{e}\right)$ Now, with $A$ as the centre and the same radius (as in the previous step), draw an arc intersecting $AB$ at $F$.

(f) Draw a line $m$ passing through points $A$ and $G$. Line $m$ is the required line parallel to line $l$.

(g) Next, with $F$ as the centre and a radius equal to the length of $DE$, draw an arc intersecting the previous arc at $G$.

Draw a line segment $AB$ of length $8 \mathrm{cm}$ and construct a line parallel to $AB$, lying $3 \mathrm{cm}$ above it.

Draw any $∆XYZ$ and construct a line parallel to $XY$, passing through the opposite vertex $Z$.

Draw a vertical line $l$ and a line parallel to it at a distance of $3 \mathrm{cm}$.

Draw a line parallel to a diagonal of a square of side $3 \mathrm{cm}$. The parallel line should pass through one of the vertices of the square, not lying on the diagonal.

Draw two parallel lines using a ruler, and verify whether they are parallel to each other by construction.