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Which of the following is incorrect?...

Which of the following is incorrect?

A

Number 0 has both rotational and line of symmetry

B

Shape kite has only one line of symmetry.

C

A square has four lines of symmetry and rotational symmetry of order 2.

D

A rectangle has finite number of lines of symmetry.

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AI Generated Solution

The correct Answer is:
To determine which of the statements is incorrect, let's analyze each option step by step. ### Step-by-Step Solution: 1. **Option 1: Number zero has both rotational and line of symmetry.** - The number zero is symmetrical about both the vertical and horizontal axes. It also looks the same when rotated 180 degrees. - **Conclusion:** This statement is **correct**. 2. **Option 2: Shape kite has only one line of symmetry.** - A kite has a vertical line of symmetry that divides it into two identical halves. - **Conclusion:** This statement is **correct**. 3. **Option 3: A square has four lines of symmetry and rotational symmetry of order two.** - A square indeed has four lines of symmetry (two diagonals and two midlines). However, it has rotational symmetry of order **four**, not two. This means it can be rotated at 0°, 90°, 180°, and 270° and still look the same. - **Conclusion:** This statement is **incorrect**. 4. **Option 4: A rectangle has a finite number of lines of symmetry.** - A rectangle has two lines of symmetry (one vertical and one horizontal). The term "finite" refers to a countable number, and since we can count the lines of symmetry, this statement is true. - **Conclusion:** This statement is **correct**. ### Final Answer: The incorrect statement is **Option 3**: "A square has four lines of symmetry and rotational symmetry of order two."
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MTG IIT JEE FOUNDATION-SYMMETRY-Exercise (Multiple Choice Questions)
  1. Which of the following has no line of symmetry?

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  2. The figure which has two lines of symmetry and rotational symmetry of ...

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  3. The order of rotational symmetry of a circle is

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  4. The least angle of rotation of a regular pentagon

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  5. The order of rotational symmetry of regular octagon is

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  6. Which squares should be shaded to make the given figure symmetric?

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  7. Which of the following does not have a line of symmetry?

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  8. What is the least number of squares that must be added so that the lin...

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  9. What is the least number of squares that must be added so that the lin...

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  10. What is the least number of squares that must be added so that the lin...

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  11. Which of the following have both line symmetry and rotational symmetry...

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  12. Which of the following is incorrect?

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  13. Angle of rotation of an equilateral triangle is

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  14. Order of rotation of a regular pentagon is

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  15. Which of the following letters does not have reflection symmetry about...

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  16. Which of the following figures has 45^@ as angle of rotation?

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  17. The order of rotation of given figure is

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  18. Which of the following letters has rotational symmetry of order more t...

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  19. A figure has angle of rotation of 30^@. Its order of rotation is

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  20. A figure has a rotational symmetry of order more than 1, the angle of ...

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