Draw $\overline{ AB }$ of length $7 \,cm$ and obtain point $M$ on $\overline{ AB }$ such that $AM : MB = 3 : 5$. Write the steps of construction.

  • A
    Step $1$: Draw a line segment $AB = 7 \,cm$.
  • B
    Step $2$: Draw an acute angle $\angle BAX$ at point $A$.
  • C
    Step $3$: Mark $3 + 5 = 8$ points on $AX$ at equal distances.
  • D
    Step $4$: Join $A_8$ to $B$ and draw a line through $A_3$ parallel to $A_8B$ to intersect $AB$ at $M$.

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