Explain why partitioning a directed line segment into a ratio of 1: 3 is not the same as finding half the length of the directed line segment.

The reason is explained below.

Step-by-step explanation:

Partition means to separate or to divide. A line segment can be partitioned into smaller segments which are compared as ratios.

The ratio of 1:3 shows that the segment will actually be divided into 4 equal sections and finding half the length of the directed line segment implies that the line segment divides in the ratio 1:1 i.e  the segment will actually be divided into 2 equal sections.

Hence, partitioning a directed line segment into a ratio of 1:3 is not the same as finding half the length of the directed line segment