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

correct

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.