Step 1: Understanding the Concept:
A test cross is a specific type of backcross where an individual with an unknown genotype is crossed with a recessive parent.
Step 2: Detailed Explanation:
1. Identification: Graph III shows 250 Tall and 250 Dwarf plants. The ratio is \(250 : 250 = 1 : 1\).
2. In Mendelian genetics, a \(1:1\) phenotypic ratio in the offspring of a tall plant and a dwarf plant indicates that the tall parent was heterozygous (\(Tt\)).
\[ Tt (\text{Heterozygous Tall}) \times tt (\text{Homozygous Dwarf}) \rightarrow 50\% \text{ Tall } (Tt), 50\% \text{ Dwarf } (tt) \]
3. Importance: A test cross is used to determine whether a dominant phenotype individual is homozygous dominant (\(TT\)) or heterozygous (\(Tt\)). If the offspring show any recessive traits, the parent must be heterozygous.
Step 3: Final Answer:
Type: Test Cross. Importance: Genotype determination of dominant phenotype individuals.