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Symmetry Test - 5

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Symmetry Test - 5
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  • Question 1
    1 / -0
    If this hexagon is rotated $$90^o$$ clockwise about point $$A$$, how many lines of symmetry will there be in the diagram formed by the hexagon and its image? 

    Solution
    If you can effect a figure over a line and the figure appears unchanged ,then the figure has reflection  symmetry or line symmetry . the line that you reflect over is called line of symmetry . Aline of symmetry divides figure into two mirror image .
    If this hexagon is rotated 90 clockwise about point A .
    Then 4 line of symmetry will be there
  • Question 2
    1 / -0
    Based on the given half image, which of the following option represents complete image?

    Solution
    Option $$D$$ forms a symmetrical image of the given image in the question.
    $$\therefore$$ Correct answer is option $$D$$. 
  • Question 3
    1 / -0
    The line of symmetry for a line segment is along its
    Solution
    Line of symmetry may also be defined as the line segment along which, when the image is folded one side over the other, the upper folded area fully covers the lower folded area.
    Hence line of symmetry is always along the perpendicular bisector
  • Question 4
    1 / -0
    Identify the line of symmetry of the following line segment (horizontal).
    Solution
    Option A has the perpendicular bisector, therefore, there is line of symmetry.
  • Question 5
    1 / -0
    How many lines of symmetry does this star have?

    Solution
    A line of symmetry is a line that divides a figure into two corresponding parts, each of which is the mirror image of the other.

    In the given figure, vertical and horizontal line which meet at the center of the figure are line of symmetry.
    Also the lines which make the angle $$45^o$$ with vertical or horizontal lines are also line of symmetry for this figure.

    Hence the given Star have $$4$$ line of symmetry. 
  • Question 6
    1 / -0
    Which of the following figures has a line of symmetry?
    Solution
    Line of symmetry divides the figure into two equal mirror halves
    Hence none of the figure in option $$A$$, $$B$$ and $$C$$ are having the line of symmetry which will divide figure into two equal mirror halves.
    Hence the correct answer is option D.
  • Question 7
    1 / -0
    Select the CORRECT match.

    Solution
    Hence, D is the correct answer.

  • Question 8
    1 / -0
    Which of the following figures has a line of symmetry?
    Solution

    The line of symmetry divides a figure into two equal mirror halves.

    Only option D satisfies this condition. Hence option D is the correct answer.

  • Question 9
    1 / -0
    How many of the following letters have atleast one vertical line of symmetry?

    Solution
    Line of symmetry is defined as the line which divides the figure into two equal mirror halves.
    So from the figure we can conclude that letters I,A and O are having one vertical line of symmetry
    Hence the correct answer is option C.

  • Question 10
    1 / -0
    What is the smallest number of squares that must be added so that the line PQ becomes a line of symmetry?

    Solution
    .Line of symmetry is defined as it divides the figure into two equal mirror halves.
    From the above figure we can say that $$4$$ number of squares must be added so that the line PQ becomes a line of symmetry.
    Hence the correct answer is option C.

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