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A regular octagon has 10 lines of symmet...

A regular octagon has 10 lines of symmetry.

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A regular pentagon has no lines of symmetry.

A regular hexagon has six lines of symmetry.

A kite has two lines of symmetry.

Assertion : A parallelogram has no line of symmetry. Reason : Each regular polygon has as many lines of symmetry as it has sides.

Which of the following statements are true and which are false ? (i) A parallelogram has no line of symmetry. (ii) An angle with equal arms has its bisector as the line of symmetry (iii) An equilaterla triangle has three lines of symmetry. (iv) A rhombus has four lines of symmetry. (v) a square has for lines of symmetry. (vi) A rectangle has two lines of symmetry. (vii) Each one of the letters H,I,O,X of the English alpabet has two lines of symmetry.

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NCERT EXEMPLAR-SYMMETRY AND PRACTICAL GEOMETRY -Exercise (In questions 43 - 61, state whether the statements are true (T) or false (F).)
  1. A right triangle can have at most one line of symmetry.

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  2. A kite has two lines of symmetry.

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  3. A parallelogram has no line of symmetry.

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  4. If an isosceles triangle has more than one line of symmetry, then it n...

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  5. If a rectangle has more than two lines of symmetry, then it must be a ...

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  6. With ruler and compasses, we can bisect any given line segment.

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  7. Only one perpendicular bisector can be drawn to a given line segment.

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  8. Two perpendiculars can be drawn to a given line from a point not lying...

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  9. With a given centre and a given radius, only one circle can be drawn.

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  10. Using only the two set-squares of the geometry box, an angle of 40^(@)...

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  11. Using only the two set-squares of the geometry box, an angle of 15^(@)...

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  12. If an isosceles triangle has more than one line of symmetry, then it m...

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  13. A square and a rectangle have the same number of lines of symmetry.

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  14. A circle has only 16 lines of symmetry.

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  15. A 45^(@) - 45^(@) - 90^(@) set-square and a protractor have the same ...

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  16. It is possible to draw two bisectors of a given angle.

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  17. A regular octagon has 10 lines of symmetry.

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  18. Infinitely many perpendiculars can be drawn to a given ray.

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  19. Infinitely many perpendicular bisectors can be drawn to a given ray.

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