7th Grade > Mathematics
SYMMETRY MCQs
Total Questions : 110
| Page 4 of 11 pages
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.
:
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.
Answer: Option B. -> False
:
B
Internal angle of regular polygon = (n−2)×180n
where, n is the number of sides.
Substituting, n = 6 in the above formula,we get internal angle as 120∘for a regular hexagon.
:
B
Internal angle of regular polygon = (n−2)×180n
where, n is the number of sides.
Substituting, n = 6 in the above formula,we get internal angle as 120∘for a regular hexagon.
Question 33. 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.
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.
:
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.
Answer: Option B. -> False
:
B
Diagonal of a rectangle divides the rectangle into two triangles that are congruent, but folding along the line ABdoes not make the two triangles coincide with each other.
Hence AB is not a line of symmetry.
:
B
Diagonal of a rectangle divides the rectangle into two triangles that are congruent, but folding along the line ABdoes not make the two triangles coincide with each other.
Hence AB is not a line of symmetry.
Answer: Option B. -> False
:
B
Internal angle of regular polygon = (n−2)×180n
where, n is the number of sides.
Substituting, n = 6 in the above formula,we get internal angle as 120∘for a regular hexagon.
:
B
Internal angle of regular polygon = (n−2)×180n
where, n is the number of sides.
Substituting, n = 6 in the above formula,we get internal angle as 120∘for a regular hexagon.
:
The order of rotational symmetry of a square about its centre is 4.The angle of rotation in a square is 90∘.
:
Correct name: 1 Mark
Diagram: 1 Mark
Formula for area: 1 Mark
Result: 1 Mark
A general parallelogram is a geometric figure which does not have any lineof symmetry. It, however, has an order of rotational symmetry of 2 as we get the same figure when it's rotated by 180∘ or 360∘.
For example, if we rotate the following figure by 180∘, we will still get an identical figure, hence it has an order of rotational symmetry as 2.
For a parallelogram, the area is given by Base x Height
According to question, Base = 6m and Height = 4m
Area = 6×4=24m2
:
Each part: 1 Mark
(a) The line of symmetry of an isosceles triangle is also known as median or altitude.
(b)Capital letters of English alphabet having no line of symmetry are F, G, J, L, N, P, Q, R, S and Z.
Question 39. (a) After rotating through an angle of 120 degrees through its centre of symmetry the figure looks exactly the same as its original. At what other angles will it happen for the figure? Describe with an example.
(b) What is the order of rotational symmetry?
(c) What is the order of rotational symmetry of a semi-circle?
[4 MARKS]
(b) What is the order of rotational symmetry?
(c) What is the order of rotational symmetry of a semi-circle?
[4 MARKS]
:
(a) Answer: 1 Mark
Example along with diagram: 1 Mark
(b) Definition: 1 Mark
(c) Answer: 1 Mark
(a) If it happens for 120∘, it will also happen for multiples of 120∘, such as 240∘ and 360∘.
The exampleis an equilateral triangle.
(b)The number of position in which the object looks exactly the same is called the order of rotational symmetry.
(c)The order of rotational symmetry of a semicircle is 1.
Question 40. (i) What letters of the English alphabet have reflection symmetry about:
a) A Vertical mirror
b) A Horizontal mirror
(ii) <Two friends arguing>
Suraj: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.
Ravi: If you can find a line in the figure which divides it into identical parts, then the figure is always symmetric.
Who is correct?
[4 MARKS]
a) A Vertical mirror
b) A Horizontal mirror
(ii) <Two friends arguing>
Suraj: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.
Ravi: If you can find a line in the figure which divides it into identical parts, then the figure is always symmetric.
Who is correct?
[4 MARKS]
:
(i) Answer: 2 Marks
(ii) Answer: 2 Marks
a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y
Horizontal mirror - B, C, D, E, H, I, O and X
(ii) If a figure can be folded along any line such that one half superimposes or aligns exactly with the other, it is known as a symmetric figure. For e.g. If you take a square and fold it across the line shown, part 1 exactly overlaps on part 2. So, the square is a symmetric figure.
On the other hand, in a parallelogram, the diagonal divides it into two congruent triangles (can be proven using SSS congruence condition), i.e. into two equal parts. But those parts don’t superimpose each other when folded across diagonal (as shown in the figure). So, the parallelogram is not symmetric.
Hence, Suraj is right and Ravi is wrong.