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Mathematics

State which of the following figures possess at least one line of symmetry :

(i)

State which of the following figures possess at least one line of symmetry : Symmetry, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

(ii)

State which of the following figures possess at least one line of symmetry : Symmetry, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

(iii)

State which of the following figures possess at least one line of symmetry : Symmetry, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

(iv)

State which of the following figures possess at least one line of symmetry : Symmetry, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

(v)

State which of the following figures possess at least one line of symmetry : Symmetry, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

Symmetry

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Answer

(i)

This figure has no line of symmetry. While the outer boundary is a square, the internal path is asymmetrical; folding it vertically, horizontally, or diagonally will not result in matching internal patterns.

(ii)

This figure possesses one line of symmetry. There is a vertical line passing through the centre that divides the figure into identical left and right halves.

(iii)

This figure possesses three lines of symmetry. A line can be drawn through the centre of each "petal" and the midpoint between the opposite two petals.

(iv)

This figure has no line of symmetry. It has rotational symmetry (it looks the same if turned 90° or 180°), but any attempt to fold it will result in the "arms" pointing in opposite directions.

(v)

This figure possesses one line of symmetry. A horizontal line passing through the centres of both circles divides the figure into mirror-image top and bottom halves.

∴ Figures (ii), (iii) and (v) possess at least one line of symmetry.

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