A quadrilateral has____

Options

A. 2 diagonals, 3 angles
B. 4 diagonals, 2 angles
C. 2 diagonals, 2 angles
D. 2 diagonals, 4 angles

Answer

To solve the question "A quadrilateral has____", we need to fill in the blank with the correct properties of a quadrilateral.

### Step-by-Step Solution:

1. **Definition of Quadrilateral**:
A quadrilateral is a polygon that has four sides. The prefix "quad" means four.

2. **Counting the Sides**:
Since a quadrilateral has four sides, we can denote them as side 1, side 2, side 3, and side 4.

3. **Counting the Angles**:
Each quadrilateral also has four angles. These angles are formed at each vertex where two sides meet. Therefore, a quadrilateral has four angles.

4. **Identifying the Diagonals**:
A diagonal in a quadrilateral is a line segment that connects two non-adjacent vertices. In a quadrilateral, there are two diagonals. For example, if we label the vertices of a quadrilateral as A, B, C, and D, the diagonals would be AC and BD.

5. **Final Statement**:
Therefore, we can conclude that a quadrilateral has 4 sides, 4 angles, and 2 diagonals.

### Answer:
A quadrilateral has 4 sides, 4 angles, and 2 diagonals.