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Mathematics for IGCSE & O level - Symmetry (Section 1)

1
What is the order of rotational symmetry of a shape that fits onto itself three times in one complete turn?
Answer
(C)
3
2
What symmetry properties does a rhombus have?
Answer
(B)
2 lines of symmetry and rotational symmetry of order 2
3
Which 3D shapes have planes of symmetry? (Select all that apply)
Answer
B
C
D
4
Which of these 3D shapes has only one axis of rotational symmetry?
Answer
(C)
Cone
5
A shape with rotational symmetry of order 4 will look identical how many times in a full rotation?
Answer
(D)
4
6
What type of symmetry does a sphere have?
Answer
(C)
Plane and Axis Symmetry
7
Which of the following is true about a square?
Answer
(C)
It has four lines of symmetry.
8
An isosceles triangle has:
Answer
(B)
One line of symmetry and no rotational symmetry
9
A cuboid has how many planes of symmetry?
Answer
(C)
3
10
A shape that has one line of symmetry and no rotational symmetry has which properties?
Answer
(A)
Reflection only
11
Which 2D shape has the most lines of symmetry?
Answer
(A)
Circle
12
What type of symmetry is displayed by reflecting a shape onto itself in a line?
Answer
(B)
Line symmetry
13
What is the order of rotational symmetry for an equilateral triangle?
Answer
(C)
3
14
What is the name given to the number of times a shape fits onto itself during a full rotation?
Answer
(C)
Order of rotational symmetry
15
Which of the following shapes has rotational symmetry of order 3?
Answer
(B)
An equilateral triangle
16
What is another name for line symmetry?
Answer
(B)
Reflectional symmetry
17
Which shapes always have more than one line of symmetry? (Select all that apply)
Answer
A
B
C
18
Which of the following statements is/are true about line symmetry? (select all that apply)
Answer
A
B
C
19
Which 3D shape has an infinite number of planes of symmetry?
Answer
(C)
Sphere
20
What is the most a 2D shape can have as lines of symmetry?
Answer
(D)
Infinite
21
Which special quadrilateral has exactly one line of symmetry and no rotational symmetry?
Answer
(C)
Kite
22
Which of the following quadrilaterals has four lines of symmetry and rotational symmetry of order 4?
Answer
(C)
Square
23
What must a shape possess to be considered to have line symmetry?
Answer
(B)
A folding line
24
Which is true for a figure with rotational symmetry of order 2?
Answer
(A)
It coincides with itself twice during a full rotation.
25
Which of the following describes the symmetry of a cone?
Answer
(C)
One line of symmetry and rotational symmetry of order 1
26
Which of the following shapes has both line symmetry and rotational symmetry? (Select all that apply)
Answer
A
B
C
D
27
If a shape has rotational symmetry of order 1, what is true?
Answer
(C)
It coincides with itself only in one position in one complete turn.
28
Which statement accurately describes the line of symmetry?
Answer
(B)
It divides a shape into two identical parts.
29
Which shapes have line symmetry? (Select all that apply)
Answer
A
C
D
30
Which shapes have only one line of symmetry? (Select all that apply)
Answer
A
B
31
What does the order of rotational symmetry represent?
Answer
(C)
The number of times a shape fits itself in a full turn.
32
How is line symmetry defined?
Answer
(B)
When a shape can be folded in half and the two halves match exactly.
33
What is the order of rotational symmetry of a square?
Answer
(D)
4
34
Which statement is false regarding symmetry?
Answer
(D)
Every 2D shape has at least one line of symmetry.
35
What is the minimum number of lines of symmetry a regular polygon with 'n' sides can have?
Answer
(A)
1
36
Which shapes have the same number of lines of symmetry as their order of rotational symmetry? (select all that apply)
Answer
B
D
37
Which solid has an infinite number of planes of symmetry and an infinite number of axes of symmetry?
Answer
(C)
Cylinder
38
How is rotational symmetry order determined?
Answer
(C)
By how many times the shape matches its original appearance during a full turn.
39
What can we conclude if a shape has no rotational symmetry?
Answer
(B)
It will look identical only once in a complete turn.
40
Which of the following shapes will NOT have a line of symmetry?
Answer
(C)
A parallelogram
41
A rectangular prism has how many planes of symmetry?
Answer
(C)
3
42
If a shape has rotational symmetry of order 6, at what angle increments does it fit onto itself?
Answer
(B)
60 degrees
43
How many axes of rotational symmetry does a cube have?
Answer
(D)
9
44
In the context of symmetry, what does 'order' refer to?
Answer
(C)
The number of times the shape fits itself during a full rotation.
45
Which of the following is true about the symmetry of a square-based pyramid?
Answer
(B)
Four planes of symmetry and rotational symmetry of order 4
46
A cone has which of the following symmetry properties?
Answer
A
C
47
Which shapes will tessellate (fill a plane without gaps or overlaps)?
Answer
A
B
D
48
How many lines of symmetry does an equilateral triangle have?
Answer
(C)
3
49
How many lines of symmetry does a rectangle have?
Answer
(C)
2
50
Which of the following describes the symmetry of a regular pentagon?
Answer
(A)
5 lines of symmetry and rotational symmetry of order 5