Draw a line $\mathrm{AB}$. Mark a point $\mathrm{M}$ outside it. Now draw another line $\mathrm{XY}\parallel \mathrm{AB}$ passing through $\mathrm{M}$.

A line $\mathrm{XY}$ is given. A perpendicular $\mathrm{LM}$ is drawn on $\mathrm{XY}$ at $\mathrm{M}$. 

Draw a line $\mathrm{PQ}$ through $\mathrm{L}$ such that $\mathrm{PQ}\parallel \mathrm{XY}$. 

In the following figure, $\mathrm{AB}\parallel \mathrm{CD}$ and $\mathrm{PQ}\perp \mathrm{AB}$. Mark a point $\mathrm{R}$ on $\mathrm{CD}$. Draw a line parallel to $\mathrm{PQ}$ through $\mathrm{R}$ meeting $\mathrm{AB}$ at $\mathrm{S}$ such that $\mathrm{QPRS}$ is a rectangle.

Determine if the given measurements are sufficient to draw a unique triangle: $△\mathrm{DEF}$ with $\mathrm{DE}=4 \mathrm{cm}, \mathrm{EF}=4 \mathrm{cm} \mathrm{and} \mathrm{DF}=4 \mathrm{cm}$ and $\mathrm{MN}=6 \mathrm{cm}$ 

Determine if the given measurements are sufficient to draw a unique triangle: $△\mathrm{LMN}$ with $\mathrm{LM}=6 \mathrm{cm}, \angle \mathrm{LMN}=120°$ and $\mathrm{MN}=6 \mathrm{cm}$