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A horticulturalist wants to produce geraniums with specific characteristics. She knows that the trait of red flowers is governed by the allele [tex]R[/tex] ([tex]RR[/tex] and [tex]Rr[/tex]), and the trait of white flowers is governed by the allele [tex]r[/tex] ([tex]rr[/tex]).

The horticulturalist plans to cross a geranium that is true-breeding for red flowers with a geranium that is true-breeding for white flowers. Which Punnett square best describes this cross?

[tex]
\[
\begin{tabular}{|c|c|c|}
\hline
& R & r \\
\hline
R & RR & Rr \\
\hline
r & Rr & rr \\
\hline
\end{tabular}
\]
[/tex]

Answer :

To determine the outcome of crossing a geranium that is true-breeding for red flowers with one that is true-breeding for white flowers, we can use a Punnett square to illustrate the genetic combinations.

1. Identify the parent genotypes:
- The red-flowering geranium is true-breeding, which means it has two dominant alleles. So, its genotype is "RR".
- The white-flowering geranium is also true-breeding, so it has two recessive alleles. Its genotype is "rr".

2. Set up the Punnett square:
- We write the alleles of one parent across the top and the alleles of the other parent down the side. For our red and white flower cross:
- Across the top: R, R (from the red-flowering parent)
- Down the side: r, r (from the white-flowering parent)

3. Fill in the Punnett square:
- To fill each box in the grid, combine the allele from the top with the allele from the side.
- The first box receives one R from the top and one r from the side, resulting in "Rr".
- The second box also receives an R from the top and an r from the side, resulting in "Rr".
- The process is the same for the remaining two boxes, both of which result in "Rr".

This is how the completed Punnett square looks:

```
R R
--------
r | Rr | Rr |
--------
r | Rr | Rr |
--------
```

4. Determine the offspring:
- All offspring will have the genotype "Rr," making them heterozygous.
- The trait outcome for the offspring is that they will all have red flowers, since the R (red) allele is dominant over the r (white) allele.

As a result, crossing a true-breeding red-flower geranium with a true-breeding white-flower geranium will produce offspring that all have red flowers with the genotype "Rr".

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