Which of the following statements is correct?

Question

Accepted Answer

Option 1 is correct: "A square is a particular type of rectangle."

Explanation:

1. **Why Option 1 is Correct:**
   - A rectangle is defined as a quadrilateral with four right angles. A square meets all the criteria of a rectangle because it has four right angles. Additionally, a square has the special property that all its sides are of equal length. Therefore, a square is a specific type of rectangle where all sides are equal. This makes Option 1 correct.

2. **Why Option 2 is Incorrect:**
   - Option 2 states, "A rectangle is a particular type of square." This is incorrect because, while a square is a rectangle with equal sides, a rectangle does not necessarily have equal sides. A rectangle only requires opposite sides to be equal and all angles to be right angles. Therefore, not all rectangles are squares, making this option incorrect.

3. **Why Option 3 is Incorrect:**
   - Option 3 states, "Every ray is a line segment." This is incorrect because a ray is a part of a line that starts at a point and extends infinitely in one direction. In contrast, a line segment has two endpoints and does not extend infinitely. Therefore, a ray cannot be considered a line segment, making this option incorrect.

4. **Why Option 4 is Incorrect:**
   - Option 4 states, "Straight angle is of 90°." This is incorrect because a straight angle is defined as an angle of 180°, which forms a straight line. A 90° angle is known as a right angle, not a straight angle. Therefore, this option is incorrect.

In conclusion, Option 1 is the correct statement as it accurately describes the relationship between squares and rectangles, while the other options contain inaccuracies in their definitions or descriptions.