The process that Alexis should use to partition segment ab in the ratio 2:3 using a compass is; As detailed below
To divide a line segment in 2:3 using compass, the steps that alexis has to follow these steps:
1) Draw any ray aₓ which makes an acute angle with segment ab.
2) Locate points a₁, a₂, a₃, a₄, a₅ on the ray aₓ such that aa₁, a₁a₂, a₂a₃, a₃a₄ and a₄a₅ are equal, with the aid of a compass.
3) Since alexis has to divide the line in ratio of 2:3, then the ray aₓ is divided into 5 equal parts.
4) Join the point b with the point a₅
5) From the point a₂, draw a line parallel to ba₅ and this can be drawn by making an angle equal to ∠aa₅b
6) Now, consider that the line that is drawn parallel to ba₅ intersect the given line ab at the point c.
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