To express the given argument symbolically, let's break it down step by step.
1. Identify the statements:
- Statement 1: "If a polygon has exactly three sides, then it is a triangle."
Let's denote this statement as [tex]\( p \rightarrow q \)[/tex], where:
- [tex]\( p \)[/tex]: "A polygon has exactly three sides."
- [tex]\( q \)[/tex]: "It is a triangle."
- Statement 2: "Jeri drew a polygon with exactly three sides."
This matches [tex]\( p \)[/tex], the antecedent of the implication.
- Conclusion: "Therefore, Jeri drew a triangle."
This matches [tex]\( q \)[/tex], the consequent of the implication.
2. Structure of the argument:
- The argument starts with the implication: [tex]\( p \rightarrow q \)[/tex].
- We then assert [tex]\( p \)[/tex].
- From [tex]\( p \rightarrow q \)[/tex] and [tex]\( p \)[/tex], we conclude [tex]\( q \)[/tex].
3. Matching the structure with the provided choices:
- Choice D shows:
[tex]\[
p \rightarrow q
\][/tex]
[tex]\[
\begin{array}{c}
p \\
\therefore q
\end{array}
\][/tex]
This matches the given argument exactly.
Hence, the symbolic representation for the argument is:
[tex]\[
\boxed{D}
\][/tex]
