Step 1: Understanding the Question:
The question presents a pedigree diagram representing the transmission of a rare genetic disorder across three generations.
We need to determine the mode of inheritance by analyzing the transmission of the trait between parents and offspring.
Step 2: Key Formula or Approach:
To identify the mode of inheritance, we test the given choices against key genetic rules:
1. X-linked dominant: Affected fathers must pass the trait to all of their daughters (since they receive his only X chromosome), but none of their sons (since they receive his Y chromosome). Affected mothers can pass the trait to both sons and daughters with a 50% probability.
2. X-linked recessive: Affected mothers must pass the trait to all of their sons. Unaffected parents cannot have affected daughters unless the father is affected.
3. Autosomal dominant: The trait typically does not skip generations, and affected parents can have unaffected offspring.
4. Autosomal recessive: The trait can skip generations, and unaffected parents can have affected offspring.
Step 3: Detailed Explanation:
Let us analyze the pedigree diagram step-by-step:
- In Generation II, we observe two affected males (black squares).
- Let's look at the rightmost affected male in Generation II. He is married to an unaffected female (white circle).
- Their offspring in Generation III consist of:
- One affected daughter (black circle).
- Two unaffected sons (white squares).
- Let's also look at the leftmost affected male in Generation II. He is married to an unaffected female (white circle).
- Their offspring in Generation III consist of:
- Two affected daughters (black circles).
- Two unaffected sons (white squares).
- In both cases, the affected fathers transmit the disease to 100% of their daughters and 0% of their sons.
- This is the signature pattern of an X-linked dominant inheritance, because a father passes his X chromosome to all his daughters and his Y chromosome to all his sons.
- Additionally, the affected female in Generation I (black circle) married to an unaffected male (white square) passes the trait to approximately 50% of her children:
- She has one affected daughter, one unaffected daughter, one affected son, and two unaffected sons.
- This 50% transmission rate is expected for a heterozygous mother carrying a dominant allele ($X^D X^d$).
Step 4: Final Answer:
Based on the perfect correlation of the pedigree with the rules of X-linked dominant inheritance, the correct option is (A).