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Solutions for Class 7 Maths Chapter, 14 Symmetry, BY-ASHUTOSH SIR, 1. Draw all lines of symmetry, if any, in each of the following figures:, , Solution:-

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2. Copy the figures with a punched hole(s) and draw all the axes of symmetry, in each of the following:, , Solution:-

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3. In the following figure, mark the missing hole(s) in order to make them, symmetrical about the dotted line:, , Solution:-, , 4. In the following figures, the mirror line (line of symmetry) is given as, dotted line. Complete each figure by performing reflection in the mirror, (dotted) line and name the figure you complete:

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Solution:The mirror line (line of symmetry) is given as dotted line. The Completed figure are, shown below., , (i) Rectangle, (ii) Triangle, (iii) Rhombus, (iv) Pentagon, , 5. Copy the adjoining figure., Take any one diagonal as a line of symmetry and shade a few more squares, to make the figure symmetric about a diagonal. Is there more than one way, to do that? Will the figure be symmetric about both the diagonals?, , Solution:-

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As per the condition given in the question,, We get the same figure, by taking any one diagonal as a line of symmetry., Then, we get the same figure if we shade according to the other diagonal as a line of, symmetry., So, by taking the line joining the midpoint of the opposite sides, the figure is, symmetrical about both diagonals., , 6. Draw the reflection of the following figures/letter in the given mirror line, shown dotted:, , Solution:-

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7. What other names can you give to the line of symmetry of, (i) an isosceles triangle, (ii) rhombus, (iii) circle, Solution:(i) In an isosceles triangle other name is given to the line of symmetry is the angle, bisector or median of the triangle., (ii) In rhombus other name is given to the line of symmetry is the diagonal of the, rhombus., (iii) In circle other name is given to the line of symmetry is the diameter., , Ex 14.2, Question 1., Which of the following figures have rotational symmetry? In the case of rotational, symmetry, find the order of rotational symmetry.

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Solution:

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Question 2., Which of the following figures have rotational symmetry of order greater than 1?, , Solution:, , Question 3., Name any two figures that have both lines of symmetry and rotational symmetry., Solution:, , Question 4., Name the quadrilaterals which have both line and rotational symmetry of order more, than 1., Solution:, , Question 5., Draw a rough sketch of:, (i) a triangle with both line and rotational symmetries of order more than 1.

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(ii) a triangle with only one line of symmetry and no rotational symmetry of order more, than 1., (iii) a triangle with no line symmetry but rotational symmetry of order 1., (iv) a quadrilateral with no line symmetry but rotational symmetry of order more than 1., (v) a quadrilateral with line symmetry but not rotational symmetry of order more than 1.

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Solution:

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Question 6., If a figure has two or more than two lines of symmetry, can it have rotational symmetry of order, more than one?, Solution:

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., , Question 7., A figure looks exactly the same as its original figure after rotation of 60°. At what other, angles will this figure appear the same?, What can you say if the angle of rotation is, (i) 72°, (ii) 45°, (iii) 50°?, Solution: