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A quadrilateral has ......... diagonals....

A quadrilateral has ......... diagonals.

A

1

B

2

C

3

D

4

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To find out how many diagonals a quadrilateral has, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding a Quadrilateral**: A quadrilateral is a polygon with four sides. The vertices of a quadrilateral can be labeled as A, B, C, and D. 2. **Identifying Diagonals**: A diagonal is a line segment that connects two non-adjacent vertices of a polygon. In a quadrilateral, we can draw diagonals by connecting the opposite corners. 3. **Drawing the Diagonals**: - Connect vertex A to vertex C. This line segment (AC) is one diagonal. - Connect vertex B to vertex D. This line segment (BD) is the second diagonal. 4. **Counting the Diagonals**: After drawing the diagonals, we can see that there are two diagonals in total: - Diagonal 1: AC - Diagonal 2: BD 5. **Conclusion**: Therefore, a quadrilateral has 2 diagonals. ### Final Answer: A quadrilateral has **2 diagonals**. ---
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