The diagonals do not necessarily intersect at right angles in a

Options

A. parallelogram
B. square
C. rhombus
D. kite

Answer

To solve the question, "The diagonals do not necessarily intersect at right angles in a," we need to analyze the given options: Parallelogram, Rectangle, Rhombus, and Kite.

### Step-by-Step Solution:

1. **Understand the Properties of Each Shape:**
- **Parallelogram:** A quadrilateral with opposite sides that are parallel and equal in length. The diagonals bisect each other but do not necessarily intersect at right angles.
- **Rectangle:** A type of parallelogram where all angles are right angles. The diagonals intersect at equal lengths but do intersect at right angles.
- **Rhombus:** A type of parallelogram where all sides are equal. The diagonals intersect at right angles.
- **Kite:** A quadrilateral with two distinct pairs of adjacent sides that are equal. The diagonals intersect at right angles.

2. **Analyze the Question:**
- We are looking for a shape where the diagonals do not necessarily intersect at right angles.

3. **Evaluate Each Option:**
- **Option 1: Parallelogram** - Correct, as the diagonals do not intersect at right angles.
- **Option 2: Rectangle** - Incorrect, as the diagonals intersect at right angles.
- **Option 3: Rhombus** - Incorrect, as the diagonals intersect at right angles.
- **Option 4: Kite** - Incorrect, as the diagonals intersect at right angles.

4. **Conclusion:**
- The correct answer is **Option 1: Parallelogram**.

### Final Answer:
The shape whose diagonals do not necessarily intersect at right angles is a **Parallelogram**.

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