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Sagot :
Based on the Punnett squares provided and the information about the alleles controlling the plant's stem length, let's analyze the genotype outcomes.
### First Generation:
The first generation cross is between two parents, each with genotype `Tt` (heterozygous):
| First Generation | [tex]$t$[/tex] | [tex]$t$[/tex] |
|------------------|-----|-----|
| [tex]$T$[/tex] | [tex]$Tt$[/tex]| [tex]$Tt$[/tex]|
| [tex]$T$[/tex] | [tex]$Tt$[/tex]| [tex]$Tt$[/tex]|
From the first generation cross, all the offspring (`Tt`) will be heterozygous, resulting in tall stems due to the presence of the dominant allele [tex]$T$[/tex].
### Second Generation:
The second generation cross is:
| Second Generation | [tex]$T$[/tex] | [tex]$t$[/tex] |
|-------------------|-----|-----|
| [tex]$T$[/tex] | [tex]$TT$[/tex]| [tex]$Tt$[/tex]|
| [tex]$t$[/tex] | [tex]$Tt$[/tex]| [tex]$tt$[/tex]|
From the second generation cross, the genotypes of the offspring are as follows:
- [tex]$TT$[/tex]: Homozygous dominant (tall stems)
- [tex]$Tt$[/tex]: Heterozygous (tall stems)
- [tex]$tt$[/tex]: Homozygous recessive (short stems)
### Analyzing the Statements:
1. Plants with short stems are homozygous for that trait.
- This statement is true. Only the genotype `tt` results in short stems, and this genotype is homozygous recessive.
2. Plants with tall stems are always homozygous for that trait.
- This statement is false. Plants with tall stems can be either homozygous dominant ([tex]$TT$[/tex]) or heterozygous ([tex]$Tt$[/tex]).
3. Both parent plants in the second generation are heterozygous.
- This statement is true. The Punnett square shows that both parents in the second generation have the genotype [tex]$Tt$[/tex].
4. Both parent plants in the second generation are homozygous.
- This statement is false. As previously mentioned, both parents in the second generation have the genotype [tex]$Tt$[/tex], which is heterozygous.
### Conclusion:
The correct statements based on the analysis above are:
- Plants with short stems are homozygous for that trait.
- Both parent plants in the second generation are heterozygous.
So, the true answers are:
- Plants with short stems are homozygous for that trait.
- Both parent plants in the second generation are heterozygous.
### First Generation:
The first generation cross is between two parents, each with genotype `Tt` (heterozygous):
| First Generation | [tex]$t$[/tex] | [tex]$t$[/tex] |
|------------------|-----|-----|
| [tex]$T$[/tex] | [tex]$Tt$[/tex]| [tex]$Tt$[/tex]|
| [tex]$T$[/tex] | [tex]$Tt$[/tex]| [tex]$Tt$[/tex]|
From the first generation cross, all the offspring (`Tt`) will be heterozygous, resulting in tall stems due to the presence of the dominant allele [tex]$T$[/tex].
### Second Generation:
The second generation cross is:
| Second Generation | [tex]$T$[/tex] | [tex]$t$[/tex] |
|-------------------|-----|-----|
| [tex]$T$[/tex] | [tex]$TT$[/tex]| [tex]$Tt$[/tex]|
| [tex]$t$[/tex] | [tex]$Tt$[/tex]| [tex]$tt$[/tex]|
From the second generation cross, the genotypes of the offspring are as follows:
- [tex]$TT$[/tex]: Homozygous dominant (tall stems)
- [tex]$Tt$[/tex]: Heterozygous (tall stems)
- [tex]$tt$[/tex]: Homozygous recessive (short stems)
### Analyzing the Statements:
1. Plants with short stems are homozygous for that trait.
- This statement is true. Only the genotype `tt` results in short stems, and this genotype is homozygous recessive.
2. Plants with tall stems are always homozygous for that trait.
- This statement is false. Plants with tall stems can be either homozygous dominant ([tex]$TT$[/tex]) or heterozygous ([tex]$Tt$[/tex]).
3. Both parent plants in the second generation are heterozygous.
- This statement is true. The Punnett square shows that both parents in the second generation have the genotype [tex]$Tt$[/tex].
4. Both parent plants in the second generation are homozygous.
- This statement is false. As previously mentioned, both parents in the second generation have the genotype [tex]$Tt$[/tex], which is heterozygous.
### Conclusion:
The correct statements based on the analysis above are:
- Plants with short stems are homozygous for that trait.
- Both parent plants in the second generation are heterozygous.
So, the true answers are:
- Plants with short stems are homozygous for that trait.
- Both parent plants in the second generation are heterozygous.
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