The diagonals do not necessarily bisect the interior angles at the vertices in a

Options

A. rectangle
B. square
C. rhombus
D. all of these

Answer

To solve the question, "The diagonals do not necessarily bisect the interior angles at the vertices in a," we need to analyze the properties of the given shapes: rectangle, square, rhombus, and all of these.

### Step-by-Step Solution:

1. **Understand the Shapes**:
- A rectangle has opposite sides equal and all angles are right angles (90 degrees).
- A square has all sides equal and all angles are right angles (90 degrees).
- A rhombus has all sides equal, but the angles can be different (not necessarily 90 degrees).

2. **Analyze the Diagonals**:
- In a **rectangle**, the diagonals are equal in length but do not necessarily bisect the angles at the vertices. For example, the diagonals will intersect at the center, but they do not create two equal angles at each vertex.
- In a **square**, the diagonals are equal and they do bisect the angles at the vertices into two equal parts (45 degrees each).
- In a **rhombus**, the diagonals bisect the angles at the vertices into two equal parts as well.

3. **Determine the Correct Answer**:
- Since we are looking for the shape whose diagonals do not necessarily bisect the interior angles at the vertices, we find that this is true for a rectangle.
- Therefore, the correct answer is **Option 1: Rectangle**.

### Final Answer:
The diagonals do not necessarily bisect the interior angles at the vertices in a **Rectangle**.

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