2. Two students wrote a description of the relationship the dashed line has with line [tex]\(RW\)[/tex].

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{Olivia} & \multicolumn{1}{c|}{Makayla} \\
\hline \begin{tabular}{l}
The dashed line \\
divides line [tex]\(RW\)[/tex] in half.
\end{tabular} & \begin{tabular}{l}
The dashed line makes \\
a right angle with \\
line [tex]\(RW\)[/tex].
\end{tabular} \\
\hline
\end{tabular}

Write a brief explanation that describes which student's description is not correct.



Answer :

Let's consider the two descriptions given by Olivia and Makayla in relation to the dashed line and line [tex]\( RW \)[/tex].

1. Olivia's Description: Olivia states that the dashed line divides line [tex]\( RW \)[/tex] in half. This means that the dashed line bisects line [tex]\( RW \)[/tex], creating two equal segments.

2. Makayla's Description: Makayla claims that the dashed line makes a right angle with line [tex]\( RW \)[/tex]. This implies that the dashed line is perpendicular to line [tex]\( RW \)[/tex].

To determine if either description is incorrect, we need to consider the geometric properties and relationships described:
- A line can indeed bisect another line, meaning it intersects the line at its midpoint, creating two equal segments.
- Additionally, a line can be perpendicular to another line, forming a 90-degree angle with it.

It is essential to recognize that both descriptions can coexist if the dashed line is a perpendicular bisector of line [tex]\( RW \)[/tex]. A perpendicular bisector is a line that not only intersects another line at its midpoint but also forms a right angle with it. Therefore, under this condition, both Olivia's and Makayla's descriptions are valid simultaneously.

In conclusion, without any further specific geometric information that would contradict one of the descriptions directly, we find that both Olivia's description and Makayla's description can be correct. Hence, neither student's description is necessarily incorrect based on the information provided.