Mathematics for IGCSE & O level - Symmetry (Section 2)
1
What are key properties of a figure that exhibits both line and rotational symmetry? (select all that apply)
2
What can you say about the rotational symmetry of a shape with a rotational symmetry of order 1?
Answer(B)
It is the same as the original shape in only one position during a complete turn.
3
Which of the following statements about a regular hexagon is true?
4
Which shape has one line of symmetry?
5
Which statements accurately describe line symmetry?
6
How many planes of symmetry does a cube have?
7
Which shapes have rotational symmetry of order 2? (Select all that apply)
8
What symmetry properties does a regular octagon have?
Answer(B)
8 lines of symmetry and rotational symmetry of order 8
9
Which of the following shapes has one line of symmetry and no rotational symmetry?
10
What is true about the symmetry of a parallelogram? (Select all that apply)
11
Which of the following have an infinite number of lines of symmetry? (Select all that apply)
12
Which of these shapes does NOT have rotational symmetry?
13
Which of the following statements are correct about a 2D shape with rotational symmetry? (select all that apply)
14
Which shape has NO lines of symmetry?
15
If a shape has an order of rotational symmetry of 9, in how many positions will it look the same during a full turn?
16
Which shapes have rotational symmetry? (select all that apply)
17
What is the rotational symmetry order of a parallelogram?
18
A shape has ___________ if it reflects onto itself in a line.
19
What is the order of rotational symmetry of a regular hexagon?
20
Which of the following statements is correct about a figure with plane symmetry?
Answer(C)
It reflects onto itself in a plane.
21
Which of the following is true for a 2D shape that has both line symmetry and rotational symmetry? (select all that apply)
22
How many lines of symmetry does a kite have?
23
Which type of symmetry does a circle possess?
Answer(D)
Both line and rotational symmetry
24
What can you conclude about a shape which has rotational symmetry of order 1?
Answer(D)
It is identical to the original in only one position in a full rotation.
25
Which shapes have both line and rotational symmetry? (Select all that apply)
26
In three dimensions, if a shape reflects onto itself in a plane, what kind of symmetry does it have?
27
Which shapes has the most planes of symmetry?
28
What symmetry properties does an equilateral triangle have?
29
What is the order of rotational symmetry of the shape that fits onto the original shape three times in one complete turn?
30
What does the term 'axis of symmetry' refer to?
Answer(D)
A line around which a shape can be rotated and appear identical.
31
Which shapes have line symmetry?
32
Which term describes a shape that can be rotated around a center point and appear identical?
33
What are the characteristics of line symmetry in two dimensions?
Answer(B)
The figure reflects onto itself in a line.
34
Which of the following shapes has rotational symmetry?
35
How many lines of symmetry does a rectangle have?
36
Which of the following statements is true about shapes with rotational symmetry?
Answer(B)
The number of ways they fit on themselves defines their order of rotational symmetry.
37
What is the maximum order of rotational symmetry?
38
Does an Isosceles triangle have rotational symmetry?
39
Which special quadrilateral has four lines of symmetry and rotational symmetry of order 4?
40
Which of the following is an example of a two-dimensional shape that can have rotational symmetry?
41
What term describes the number of times a shape fits onto itself in one complete turn?
Answer(B)
Order of Rotational Symmetry
42
What is the relationship between the image and the original shape after reflecting across the line of symmetry?
Answer(C)
The image is the same distance from the line of symmetry.
43
If a figure has line symmetry, what can you say about the distance of the image from the line of symmetry?
Answer(C)
The image is the same distance from the line of symmetry as the original shape.
44
What is a 'plane of symmetry' in relation to a 3D shape?
Answer(C)
A plane that divides the shape into two identical parts.
45
In two dimensions, what kind of symmetry results from reflecting a figure across a line?
46
A 2-dimensional shape has what type of symmetry if it reflects onto itself in a line?
47
A square-based pyramid has four planes of symmetry and one axis of rotational symmetry. What is the order of rotational symmetry?
48
If a shape has rotational symmetry of order 3, how many positions will it fit onto the original shape in one complete turn?
49
Which of the following shapes has nine lines of symmetry and rotational symmetry of order 9?
50
Which of the following shapes has no lines of symmetry and rotational symmetry of order 2?
