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7th Grade > Mathematics

SYMMETRY MCQs

Total Questions : 110 | Page 3 of 11 pages
Question 21. The lines of symmetry of a regular polygon with n sides divide the polygon into __ triangles.
  1.    n2
  2.    n
  3.    2n
  4.    3n
 Discuss Question
Answer: Option C. -> 2n
:
C
The 3 lines of symmetry ofan equilateral triangle (a regular polygon with 3sides) divideit into6triangles.
The Lines Of Symmetry Of a Regular Polygon With n sides D...
The 4 lines of symmetry of a square (a regular polygon with 4 sides) divide it into 8 triangles.
The Lines Of Symmetry Of a Regular Polygon With n sides D...
Hence, a regular polygon with nsides will be divided into 2ntriangles when all itslines of symmetry are drawn.
Question 22. The lines of symmetry of a regular polygon with n sides divide the polygon into __ triangles.
  1.    n2
  2.    n
  3.    2n
  4.    3n
 Discuss Question
Answer: Option C. -> 2n
:
C
The 3 lines of symmetry ofan equilateral triangle (a regular polygon with 3sides) divideit into6triangles.
The Lines Of Symmetry Of a Regular Polygon With n sides D...
The 4 lines of symmetry of a square (a regular polygon with 4 sides) divide it into 8 triangles.
The Lines Of Symmetry Of a Regular Polygon With n sides D...
Hence, a regular polygon with nsides will be divided into 2ntriangles when all itslines of symmetry are drawn.
Question 23. Match the figures to their number of lines of symmetry.
Match The Figures to Their Number Of Lines Of Symmetry.
  1.    1-a; 2-b; 3-c; 4-d
  2.    1-d; 2-c; 3-b; 4-a
  3.    1-b; 2-a; 3-c; 4-d
  4.    1-a; 2-c; 3-b; 4-d
 Discuss Question
Answer: Option C. -> 1-b; 2-a; 3-c; 4-d
:
C
Aregular hexagon has six, a the regular pentagon has five and asquare has four lines of symmetry.A regular polygon of n sides has n lines of symmetry.
A rectangle has only two lines of symmetry as shown below.
Match The Figures to Their Number Of Lines Of Symmetry.
Question 24. If the order of symmetry of the first image is ‘A’ and the second image is ‘B’. Find the value of A + B.
If The Order Of Symmetry Of The First Image Is ‘A’ And T...
___
 Discuss Question

:
A wind mill has order 3 rotational symmetry. Did you notice that after the third rotation, it looks exactly as it looked at the start? We got total of three instances where the wind mill looked exactly like as the start.
The key-point is the final position of any object, after 360° rotation will always look like the initial object. So, every object will have rotational symmetry of order 1.
Let us move on to the question now.
If The Order Of Symmetry Of The First Image Is ‘A’ And T...
In 1, for 360° rotation, we have two instances where it looks like the starting position. That is after 180° and after 360°. So, the order is 2 which will be the value of ‘A’.
But fig. 2 has order 1 because it only repeats itself after 360° rotation. So, B = 1.
That means A + B = 2 + 1 = 3
Question 25. Match the figures to their number of lines of symmetry.
Match The Figures to Their Number Of Lines Of Symmetry.
  1.    1-a; 2-b; 3-c; 4-d
  2.    1-d; 2-c; 3-b; 4-a
  3.    1-b; 2-a; 3-c; 4-d
  4.    1-a; 2-c; 3-b; 4-d
 Discuss Question
Answer: Option C. -> 1-b; 2-a; 3-c; 4-d
:
C
Aregular hexagon has six, a the regular pentagon has five and asquare has four lines of symmetry.A regular polygon of n sides has n lines of symmetry.
A rectangle has only two lines of symmetry as shown below.
Match The Figures to Their Number Of Lines Of Symmetry.
Question 26. The order of rotational symmetry of a square about its centre is __.
 Discuss Question

:
The order of rotational symmetry of a square about its centre is 4.The angle of rotation in a square is 90.
Question 27. A regular polygon has only one line of symmetry. Say true or false.
  1.    True
  2.    False
 Discuss Question
Answer: Option B. -> False
:
B
Every regular polygon has as many lines of symmetry as the number of its sides. So, they have multiple lines of symmetry.
Question 28. A shape is said to have a line symmetry when one half of it is the mirror image of the other half. True or false.
  1.    True
  2.    False
 Discuss Question
Answer: Option B. -> False
:
B
A mirror line helps to visualise a line of symmetry, a shape has a line of symmetry when half of it is the mirror image of the other half. But it is not applicable in the case of left-right changes in the orientation.
eg. R | Я
When the folded part sits perfectly on top (all edges matching), then the foldlineis aLine of Symmetry.
Question 29. A regular polygon has only one line of symmetry. Say true or false.
  1.    True
  2.    False
 Discuss Question
Answer: Option B. -> False
:
B
Every regular polygon has as many lines of symmetry as the number of its sides. So, they have multiple lines of symmetry.
Question 30. Consider a regular pentagon. Mark the centre of pentagon as O. Centre of pentagon is defined as a point which is equidistant from all the vertices. Hence, if a vertical line is drawn through O, perpendicular to the plane in which pentagon is drawn, then the vertical line is called as line of symmetry. State true or false.
  1.    True
  2.    False
 Discuss Question
Answer: Option B. -> False
:
B
If a vertical line is drawn through O, perpendicular to the plane in which pentagon is drawn,then the vertical line is called axisof symmetry. Hence, the given statement is false.

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