Draw $\Delta ABC$ with $AB = 6 \, cm$,$BC = 8 \, cm$,and $m\angle B = 60^\circ$. Then,construct $\Delta BXY$ similar to $\Delta ABC$ whose sides have lengths $\frac{4}{5}$ times the lengths of the corresponding sides of $\Delta ABC$. Write the steps of construction.

(N/A) Steps of construction:
$1$. Draw a line segment $BC = 8 \, cm$.
$2$. At point $B$,construct an angle of $60^\circ$ using a compass and ruler.
$3$. From point $B$,cut an arc of $6 \, cm$ on the ray making $60^\circ$ to mark point $A$. Join $AC$ to complete $\Delta ABC$.
$4$. Draw an acute angle $\angle CBZ$ below the line segment $BC$.
$5$. Mark $5$ points $B_1, B_2, B_3, B_4, B_5$ on ray $BZ$ such that $BB_1 = B_1B_2 = B_2B_3 = B_3B_4 = B_4B_5$.
$6$. Join $B_5$ to $C$.
$7$. Draw a line from $B_4$ parallel to $B_5C$ intersecting $BC$ at $Y$.
$8$. Draw a line from $Y$ parallel to $AC$ intersecting $AB$ at $X$.
$9$. $\Delta BXY$ is the required triangle similar to $\Delta ABC$ with a scale factor of $\frac{4}{5}$.