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6th Grade > Mathematics

SYMMETRY MCQs

Total Questions : 88 | Page 2 of 9 pages
Question 11. In the given Square, XY is the line of symmetry. If AX=2cm. Find the area of the figure.
In The Given Square, XY Is The Line Of Symmetry. If AX=2cm. ...
  1.    20 cm2
  2.    34 cm2
  3.    16 cm2
  4.    8 cm2
 Discuss Question
Answer: Option C. -> 16 cm2
:
C
The given figure is a square and XY is the line of symmetry.
Hence, AX=BX=2cm.
Therefore,AB=AX+BX
=2cm+2cm
=4cm
Since the length of one side is given we can determine its area enclosed by the formula Side x Side.
The area of the square =4×4
=16cm2
Question 12. Line of symmetry divides a figure into two equal halves in all aspects.
  1.    True
  2.    False
  3.    only 3 & 4
  4.    1,2, 3 & 4 
 Discuss Question
Answer: Option A. -> True
:
A
Line of symmetry divides a figure into two equal halves in all aspects. Line of symmetry is the imaginary line where you could fold the image and have both halves matchexactly.
Question 13. Find the length of EF, if AB =5cm and CA= 7cm, given that AD is the line of symmetry for the figure. 
Find The Length Of EF, If AB =5cm And CA= 7cm, Given That AD...
  1.    1 cm
  2.    2 cm
  3.    3 cm
  4.    1.5 cm
 Discuss Question
Answer: Option B. -> 2 cm
:
B
Since AD is the line of symmetry, the part of the figure to the right of this line is the reflection of the part of the figure to the left of it.
AB=AE=5cmandCA=FA=7cm.
Hence,
EF=FAAE
EF=75=2cm
Question 14. With respect to the given image choose the correct option.
With Respect To The Given Image Choose The Correct Option.
  1.    Left upper half and Right lower half are symmetrical.
  2.    Right lower half and left lower half are symmetrical.
  3.    Left lower half and right upper half are not symmetrical.
  4.    Left lower half and right upper half are symmetrical.
 Discuss Question
Answer: Option C. -> Left lower half and right upper half are not symmetrical.
:
C
All the parts of the car mentioned in the options are asymmetric. Even the right lower and left lower half because of the presence of the steering wheel in the left lower side.
Question 15. Meenakshi is interested in arts and one day while painting on a paper she discovered that the paper upon folding across a line overlapped exactly with the other part. This line could be termed as
  1.    Line of separation
  2.    Line of symmetry
  3.    Line of division
  4.    All of these
 Discuss Question
Answer: Option B. -> Line of symmetry
:
B
When we are able to fold a picture in a half such that the left and right halves match exactly then we say that the picture has a line of symmetry.
Question 16. If a line segment of length 10 cm is reflected in a line of symmetry (mirror),  then the reflection is a line of length ____.
  1.    5 cm 
  2.    10 cm
  3.    15 cm
  4.    20 cm
 Discuss Question
Answer: Option B. -> 10 cm
:
B
The image formed in a plane mirror is of the same length of the object. So, the image of the line would remain a line and there would be no change in its length.
refelction is a line of length 10cm.
Question 17.  Which of the following figures have more than two lines of symmetry?
  1.    Circle
  2.    Isosceles trapezium
  3.    Isosceles triangle
  4.    Parallelogram
 Discuss Question
Answer: Option A. -> Circle
:
A
 Which Of The Following Figures Have More Than Two Lines Of...
A circle has more than two lines of symmetry.
 Which Of The Following Figures Have More Than Two Lines Of...
An isosceles trapeziumhas only one line of symmetry.
 Which Of The Following Figures Have More Than Two Lines Of...
An isosceles triangle has only one line of symmetry.
A parallelogramhas only one lines of symmetry.
 Which Of The Following Figures Have More Than Two Lines Of...
Question 18. The following figure is:-
The Following Figure Is:-
  1.    Asymmetrical
  2.    Symmetrical
  3.    Congruent
  4.    Unsymmetrical
 Discuss Question
Answer: Option A. -> Asymmetrical
:
A
Asymmetrical figures are those which do not have a line of symmetry and hence are not symmetrical. Asin the above figure, there is no line of symmetry,the given figure is asymmetrical.
Question 19. Find the number of lines of symmetry in the figure shown.
Find The Number Of Lines Of Symmetry In The Figure Shown.
  1.    One
  2.    Two
  3.    Three
  4.    Four
 Discuss Question
Answer: Option A. -> One
:
A
The above figure has only one line of symmetry.
Find The Number Of Lines Of Symmetry In The Figure Shown.
Question 20. What do we actually mean by a figure having two lines of symmetry?
  1.    There exist only one line with respect to which the two halves are mirror images of each other.
  2.    There exist two different lines in the figure with respect to which the respective halves are mirror images of each other.
  3.    There does not exist any line from where the halves are mirror images of each other.
  4.    There exist two different lines in the figure with respect to which the respective halves are not mirror images of each other.
 Discuss Question
Answer: Option B. -> There exist two different lines in the figure with respect to which the respective halves are mirror images of each other.
:
B
By two lines of symmetry we mean that two different lines in the figure can be drawn with respect to which the halves are mirror images of each other.
Eg. Rectangle, the alphabet 'X' etc.

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