Final answer:
To divide a line segment 'El' into two segments in a 2:1 ratio, one must use the principles of proportional reasoning and segment division, by setting up an equation reflecting the desired ratio and solving for the segment length.
Step-by-step explanation:
The student's question revolves around finding a point that divides a line segment, denoted as 'El', into two segments with a specific ratio, namely 2:1. This involves using the concepts of proportional reasoning and segment division in geometry. When a point divides a line segment into a particular ratio, this point is often referred to as a section of the line segment.
To solve a problem like this, you generally apply the concept of a divider or a mean proportion. The process can be done by considering the line segment's total length (if known), then applying ratios to determine the segments' lengths. For example, if 'El' had a length of 'l', the two segments formed by the dividing point would have lengths '2/3l' and '1/3l', respectively, to satisfy the ratio 2:1.
In the context of the student's assignment, which refers to setting up proportions matching lengths and widths to unit scales, the same principles apply. One would set up an equation like Length=x/Total Length, with a given ratio, then solve for 'x' to find the required segment length that splits the original length proportionally.