You can divide a square into symmetrical halves by folding along any of the coloured lines- You will that the horizontal and vertical lines of symmetry pass through the middle points of opposite side-

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You can divide a square into symmetrical halves by folding along any of the coloured lines. You will find that the horizontal and vertical lines of symmetry pass through the middle points of opposite side.

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(i) What letters of the English alphabet have reflection symmetry about:
a) A Vertical mirror
b) A Horizontal mirror

(ii) <Two friends arguing>

Suraj: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.

Ravi: If you can find a line in the figure which divides it into identical parts, then the figure is always symmetric.

Who is correct?
[4 MARKS]

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Are these figures symmetrical? Draw the lines of symmetry in the figures that are symmetrical. You can also trace them out and fold them to check.

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Which of the following figure is symmetrical along both vertical and horizontal line of symmetry?

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Arjun: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.

Shubh: If you can find a line in the figure which divides it into identical parts, then the figure is always symmetric.

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On a squared paper, sketch the following:

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(b) A quadrilateral with both horizontal and vertical lines of symmetry.

(d) A hexagon with exactly two lines of symmetry.

(e) A hexagon with six lines of symmetry.

(Hint: It will be helpful if you first draw the lines of symmetry and then complete the figures.)

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