Draw $\overline{XY}$ of length $9\, cm$ and divide it in the ratio $2:5$ from $X$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a line segment $\overline{XY}$ of length $9\, cm$ using a ruler.
$2$. Draw a ray $XP$ making an acute angle with $\overline{XY}$ at point $X$.
$3$. Locate $2 + 5 = 7$ points $A_1, A_2, A_3, A_4, A_5, A_6, A_7$ on ray $XP$ such that $XA_1 = A_1A_2 = A_2A_3 = A_3A_4 = A_4A_5 = A_5A_6 = A_6A_7$.
$4$. Join $A_7$ to $Y$.
$5$. Through point $A_2$,draw a line parallel to $A_7Y$ (by making corresponding angles equal) intersecting $\overline{XY}$ at point $Z$.
$6$. Thus,point $Z$ divides $\overline{XY}$ in the ratio $2:5$.
$1$. Draw a line segment $\overline{XY}$ of length $9\, cm$ using a ruler.
$2$. Draw a ray $XP$ making an acute angle with $\overline{XY}$ at point $X$.
$3$. Locate $2 + 5 = 7$ points $A_1, A_2, A_3, A_4, A_5, A_6, A_7$ on ray $XP$ such that $XA_1 = A_1A_2 = A_2A_3 = A_3A_4 = A_4A_5 = A_5A_6 = A_6A_7$.
$4$. Join $A_7$ to $Y$.
$5$. Through point $A_2$,draw a line parallel to $A_7Y$ (by making corresponding angles equal) intersecting $\overline{XY}$ at point $Z$.
$6$. Thus,point $Z$ divides $\overline{XY}$ in the ratio $2:5$.
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