In a rectangle, diagonals are________.

Options

A. Unequal
B. Equal
C. At right angles
D. Perpendicular bisector

Answer

To answer the question "In a rectangle, diagonals are________," we will go through the properties of the diagonals in a rectangle step by step.

### Step-by-Step Solution:

1. **Understanding the Rectangle**:
- A rectangle is a four-sided polygon (quadrilateral) where opposite sides are equal in length and all interior angles are right angles (90 degrees).

2. **Identifying the Diagonals**:
- In a rectangle, there are two diagonals. These diagonals connect opposite corners of the rectangle. For example, if we label the corners of the rectangle as A, B, C, and D, then the diagonals would be AC and BD.

3. **Properties of Diagonals**:
- The diagonals of a rectangle have specific properties:
- They are equal in length. This means that diagonal AC is equal to diagonal BD.
- The diagonals bisect each other, meaning they cut each other in half at their intersection point.

4. **Using the Pythagorean Theorem**:
- To find the length of the diagonals, we can use the Pythagorean theorem. If we let L be the length and B be the breadth of the rectangle, the length of each diagonal (d) can be calculated using the formula:
\[ d = \sqrt{L^2 + B^2} \]
- This shows that both diagonals are equal because they are calculated using the same length and breadth.

5. **Conclusion**:
- Therefore, we can conclude that in a rectangle, diagonals are equal in length.

### Final Answer:
In a rectangle, diagonals are **equal**.