How many diagonals does a square have?a)1b)2c)3d)4Correct answer is op...
A square has two diagonals. These diagonals are line segments that connect opposite corners (vertices) of the square. They are equal in length and bisect each other at right angles.
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How many diagonals does a square have?a)1b)2c)3d)4Correct answer is op...
Understanding Diagonals in a Square
To determine how many diagonals a square has, we first need to understand what a diagonal is. A diagonal is a line segment that connects two non-adjacent vertices of a polygon.
Vertices of a Square
- A square has 4 vertices (corners).
- These vertices can be labeled as A, B, C, and D.
Identifying Diagonals
- From each vertex, we can draw lines to connect to other vertices.
- However, diagonals cannot connect adjacent vertices (like A to B or B to C) as those lines are sides of the square.
Counting the Diagonals
- Starting from vertex A:
- Diagonal 1: A to C
- Diagonal 2: A to D (this is not a diagonal; it's a side)
- Moving to vertex B:
- Diagonal 1: B to D (this is not a diagonal; it's a side)
- Diagonal 2: B to C
- Continuing this process, we notice that:
- Only two unique diagonals exist: AC and BD.
Conclusion
- Therefore, the square has a total of 2 diagonals.
- This can be visually confirmed by drawing a square and marking the diagonals.
In summary, the correct answer is option B: a square has 2 diagonals.