To determine which statements are correct about cockroaches, we will analyze each option provided in the question step by step.
### Step 1: Analyze Sexual Dimorphism
- **Statement 1**: "Sexual dimorphism is distinct."
- **Explanation**: Sexual dimorphism refers to the differences in appearance between male and female members of the same species. In cockroaches, particularly in the case of the American cockroach, males and females exhibit distinct morphological differences. For example, males are generally smaller and have longer, more slender bodies compared to females, which are larger and more robust. Therefore, this statement is **correct**.
### Step 2: Examine the Presence of Anal Styles
- **Statement 2**: "The anal styles are present on the 9th sternite of male only."
- **Explanation**: In male cockroaches, anal styles are indeed present on the 9th sternite, which are used in mating. Females do not have these structures. Thus, this statement is also **correct**.
### Step 3: Assess the Anal Saccae
- **Statement 3**: "In both sexes, either male or female cockroach, their 10th segment has a jointed filamentous structure, which we call anal saccae, they are pincer shaped and multi-segmented."
- **Explanation**: Anal saccae are present in both male and female cockroaches. These structures are indeed jointed, filamentous, and pincer-shaped, and they play a role in sensing vibrations. Therefore, this statement is **correct** as well.
### Step 4: Evaluate the Overall Statement
- **Statement 4**: "ALL."
- **Explanation**: Since all the previous statements (1, 2, and 3) have been confirmed as correct, the conclusion that "ALL" statements are correct is also **correct**.
### Final Answer
The correct answer is **option 4: ALL**.
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