Symmetry
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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.
True
False
__________ and __________ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through .
All symmetric figures will have bilateral symmetry. Say true or false.
True
False
Identify a quadrilateral with a rotational symmetry of order more than 1 but does not have a line symmetry.
Parallelogram
Rhombus
Kite
Square
- algebra
- symmetry
- geometry
Match the shapes mentioned in column 1 with the number of lines of symmetry it can have.
ShapesLines of Symmetry(a) Equilateral triangle(i) 2(b) Square(ii) 3(c) Circle(iii) 4(d) Rectangle(iv) Infinte(e) Regular Pentagon(v) 5
(a)-ii, (b)-iii, (c)-iv, (d)-i, (e)-v
(a)-iii, (b)-ii, (c)-i, (d)-iv, (e)-v
(a)-ii, (b)-iii, (c)-i, (d)-iv, (e)-v
(a)-v, (b)-iii, (c)-iv, (d)-ii, (e)-i
Shape
- B
- D
- A
- C
The following figure has 4 lines of symmetry.
True
False
<Two friends arguing>
Arjun: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.
Shubh: If you can find a line in the figure which divides it into two identical parts, then the figure is always symmetric.
Both Arjun and Shubh are right
Arjun is right and Shubh is wrong
Arjun is wrong and Shubh is right
Both Arjun and Shubh are wrong
A scalene triangle has
1 line of symmetry.
No rotational symmetry
No point symmetry
No line symmetry
A triangle with only a line of symmetry but no rotational symmetry.
A quadrilateral with rotational symmetry but not a line of symmetry.
Which of these puzzle pieces are symmetrical?
- 3 & 2
- 1 & 4
- 3 & 4
- All of them
- Line Symmetry
- Rotational symmetry
- Reflection symmetry
- Point symmetry
When is a figure said to have a line symmetry?
We can fold a picture in half such that the right and left halves match exactly
The two halves are mirror images of each other
The two halves are not the mirror images of each other
None of these
What is a six-sided polygon called?
Hexagon
Pentagon
Octagon
Heptagon
A figure having no lines of symmetry is called unsymmetrical figure.
True
False
After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
All human beings exhibit symmetry.
True
False
True or False?
- True
- False
Which of the following shows symmetrical design?
Spider webs
Honeycombs
Ripples in water
Both A and C
- Length
- Breadth
- orientation
- Size
- Motion
There are four figures shown below. Identify the symmetrical ones.
1
2
3
4
A triangle with both lines of symmetry and rotational symmetry.
The addition symbol (+) has ..... lines of symmetry.
- Kite
- Scalene triangle
- Arrowhead
- Semi-circle
- M
- V
- H
- E
All human beings exhibit symmetry.
False
True
- False
- True