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Mathematics

State, whether true or false:

(i) The letter B has one line of symmetry.

(ii) The letter F has no line of symmetry.

(iii) The letter O has only two lines of symmetry.

(iv) The figure

The figure has no line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

has no line of symmetry.

(v) The letter N has one line of symmetry.

(vi) The figure

The figure has one line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

has one line of symmetry.

(vii) The letter D has only one line of symmetry.

(viii) A scalene triangle has three lines of symmetry.

Symmetry

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Answer

(i) True

Reason:

The letter B has one vertical line of symmetry that divides it into two identical halves.

The letter B has one line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(ii) True

Reason:

The letter F has no line of symmetry, as there is no way to divide it into two identical halves, either vertically or horizontally.

The letter F has no line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(iii) False

Reason:

The letter O has an infinite number of lines of symmetry, as any line passing through its center divides it into two identical halves.

The letter O has only two lines of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(iv) False

Reason:

There are two lines of symmetry that can divide the above figure into two equal halves.

The figure has no line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(v) False

Reason:

The letter N has no lines of symmetry. There is no way to divide it into two identical halves along any line, either vertically or horizontally.

The letter N has one line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(vi) True

Reason:

There is only one line of symmetry that can divide the above figure into two equal halves.

The figure has one line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(vii) True

Reason:

The letter D has one line of symmetry that divides it into two identical halves.

The letter D has only one line of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

(viii) False

Reason:

A scalene triangle has no lines of symmetry, as all its sides and angles are of different lengths.

A scalene triangle has three lines of symmetry. Symmetry, Concise Mathematics Solutions ICSE Class 8.

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