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Which of the following has as many lines...

Which of the following has as many lines of symmetry as the number of sides?

A

Square

B

Rectangle

C

Scalene triangle

D

Kite

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Which of the following has as many lines of symmetry as the number of sides?" we will analyze each shape provided in the options: square, rectangle, scalene triangle, and kite. ### Step-by-Step Solution: 1. **Analyze the Square:** - A square has 4 sides. - It has 4 lines of symmetry: - 2 diagonals - 1 vertical line - 1 horizontal line - **Conclusion:** The square has 4 lines of symmetry, which is equal to the number of its sides (4). 2. **Analyze the Rectangle:** - A rectangle has 4 sides. - It has 2 lines of symmetry: - 1 vertical line (dividing it into left and right halves) - 1 horizontal line (dividing it into top and bottom halves) - **Conclusion:** The rectangle has 2 lines of symmetry, which is not equal to the number of its sides (4). 3. **Analyze the Scalene Triangle:** - A scalene triangle has 3 sides. - It has 0 lines of symmetry because all sides and angles are different. - **Conclusion:** The scalene triangle has 0 lines of symmetry, which is not equal to the number of its sides (3). 4. **Analyze the Kite:** - A kite typically has 4 sides. - It has 1 line of symmetry (the line that divides the kite into two equal halves). - **Conclusion:** The kite has 1 line of symmetry, which is not equal to the number of its sides (4). ### Final Conclusion: The only shape that has as many lines of symmetry as the number of sides is the **square**. ---
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