Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes

Q111Written answer

Draw the net of a square pyramid with base as square of side ${\mathbf{4cm}}$ and slant edges ${\mathbf{6cm}}$.

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Worked solution

Ans: The net of such square pyramid will be,

Q112Written answer

Draw the net of rectangular pyramid with slant edge ${\mathbf{6cm}}$ and base as rectangle with length ${\mathbf{4cm}}$ and breadth ${\mathbf{3cm}}$.

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Worked solution

Ans: The net of such rectangular pyramid will be,

Q113Written answer

Find the number of cubes in each of the following figures and in each case give the top, front, left side and right side view (arrow indicating the front view).

(a)

(b)

(c)

(d)

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Worked solution

Ans: The number of cubes in given figure is $6.$

For the given figure,

Ans: The number of cubes in given figure is $8.$

For the given figure,

Ans: The number of cubes in given figure is $7.$

For the given figure,

Ans: The number of cubes in given figure is $8.$

For the given figure,

(e)

Ans: The number of cubes in given figure is $6.$

For the given figure,

(f)

Ans: The number of cubes in given figure is $8.$

For the given figure,

(g)

Ans: The number of cubes in given figure is $6.$

For the given figure,

(h)

Ans: The number of cubes in given figure is $8.$

For the given figure,

Q114Written answer

Draw all lines of symmetry for each of the following figures as given below:

(a)

(b)

(c)

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Worked solution

Ans: One line of symmetry.

Ans: It has no line of symmetry.

Ans: It has two lines of symmetry.

Q115Written answer

How many faces does Fig. 12.27 have?

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Worked solution

Ans: There are total \[16\] faces in the given figure.

Q116Written answer

Trace each figure. Then draw all lines of symmetry, if it has.

(a)

(b)

(c)

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Worked solution

Ans:

It has two lines of symmetry.

Ans:

It has no line of symmetry.

Ans:

It has three lines of symmetry.

Q117Written answer

Tell whether each figure has rotational symmetry or not.

(a)

(b)

(c)

(d)

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Worked solution

Ans: The given figure has a rotational symmetry.

Ans:The given figure has no rotational symmetry.

Ans: The given figure has no rotational symmetry.

Ans: The given figure has a rotational symmetry.

(e)

Ans: The given figure has a rotational symmetry.

(f)

Ans: The given figure has a rotational symmetry.

Q118Written answer

Draw all lines of symmetry for each of the following figures.

(a)

(b)

(c)

(d)

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Worked solution

Ans:

It has two lines of symmetry.

Ans:

It has one line of symmetry.

Ans:

It has six lines of symmetry.

Ans:

It has two lines of symmetry.

(e)

Ans:

It has two lines of symmetry.

(f)

Ans:

It has one line of symmetry.

Q119Written answer

Tell whether each figure has rotational symmetry. Write yes or no.

(a)

(b)

(c)

(d)

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Worked solution

Ans: The given figure has rotational symmetry.

Ans: The given figure has no rotational symmetry.

Ans: The given figure has rotational symmetry.

Q120Written answer

Does the Fig. 12.28 have rotational symmetry?

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Worked solution

Ans: The given figure does not show rotational symmetry because one part of the design is un-darkened, whereas the other three parts are darkened. Hence, the design does not show symmetry.

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