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Question 12 Marks
How many lines of symmetry does a rhombus have?
Answer
A rhombus has two lines of symmetry which are its diagonal.
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Question 22 Marks
How many lines of symmetry does an equilateral triangle have?
Answer
The number of positions a figure can be rotated to, without bringing in any changes to the way it looked originally, is called its order ofrational symmetry.So, the order of rotational symmetry of an equilateral triangle is 3.
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Question 32 Marks
Give an example of a geometrical figure which has neither a line of symmetry nor a rotational symmetry.
Answer
A scalene triangle has neither any line of symmetry nor a rotational symmetry.
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Question 42 Marks
What is the order of rotational symmetry of a rhombus?
Answer
Order of rotational symmetry of a rhombus is not possible. Therefore ithas no rotational symmetry.
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Question 52 Marks
Give an example of a figure that has a line of symmetry but does not have rotational symmetry.
Answer
The figure which has only on line of symmetry but no rotational symmetry order is an isosceles triangle.
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Question 62 Marks
Does every trapezium have a line of symmetry?
Answer
No, only isosceles trapezium has a line of symmetry but not every trapezium.
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Question 72 Marks
How many lines of symmetry does an equilateral triangle have?
Answer
An equilateral triangle has 3 lines of symmetry.
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Question 82 Marks
Find:
  1. The number of lines of symmetry.
  2. The order of rotational symmetry of the adjoining figure. Draw the line of symmetry.
Answer
In the given figure, the line of symmetry has been drawn which is one. There is no rotational symmetry of this figure.
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Question 92 Marks
What is the line of symmetry of a semicircle? Does it have rotational symmetry?
Answer
The line of symmetry of a semicircle is the perpendicular bisector of the diameter No, it has not any rotational symmetry.
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Question 102 Marks
  1. How many lines of symmetry does the given figure have? Draw these lines.
  2. What is the order of rotational symmetry of the given figure?
Answer
  1. The given figure has two lines of symmetry which has been drawn.
  1. It has three orders of the rotational symmetry which are 90°, 270° and 360°.
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Question 112 Marks
Give an example of a letter of the English Alphabet which has:
  1. No line of symmetry.
  2. Rotational symmetry of order 2.
Answer
There is one letter of the English Alphabet Z which has no line of symmetry but it has order two of rotational symmetry of 180° and 360°.
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Question 122 Marks
Write three letters of the English Alphabet which has two lines of symmetry and rotational symmetry of order 2.
Answer
Three letters of the English Alphabet which have two lines of symmetry and rotational symmetry of order 2 are H, O and X.
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